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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: how
Date: Wed, 17 Apr 2024 11:44:00 -0700
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On 4/16/2024 11:02 PM, FromTheRafters wrote:
> 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?

Touche. Basically, you forced me to laugh right here, and think at the 
same time! Thanks. :^D


> 
>> Yikes! Well, how to denote 42 - 42 = 0 ;^)
> 
> Subtraction is only a partial function in the positive and non-negative 
> integers.

How do we represent a natural number being subtracted from itself? Have 
to go into the integers where there is a zero? Heck, even the unsigned 
integers... ;^)

lol. Thanks again.