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On 10/17/24 2:46 PM, WM wrote:On 17.10.2024 02:18, Richard Damon wrote:On 10/16/24 1:18 PM, WM wrote:>>Of course it is a general rule. Doubling creates larger numbers.But those numbers are still in the set, and all the members of the set were doubled, so none of the doubled values got us to a value that wasn't doubled.>
Therefore not all doubles are natural.
So, what ones aren't?They all are dark and cannot be named individually.
It is proven that the set of Natural Numbers are closed under multiplication.That is not the set but the potentially infinite collection of Peano numbers.
Regards, WM
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