Re: how

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 :
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Name a Natural Number that can not be doubled!!!
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All nameable numbers belong to a potentially infinite collection, a very small initial segment of ℕ.

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Thus, doubling ALL the Natural Numbers still gives you results that are all Natural Numbers.

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Impossible, since all are doubled.

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POSSIBLE!!!!
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That is the "miracle" of INFINITY.

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No, it is the incongruence of thinking.
For potential infinity it is true. But for actual infinity it is wrong.
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Regards, WM
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Why?
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What number in the set of Natual Numbers doesn't have another Natural Number that is twice it?

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Zero?

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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.