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On 24.10.2024 14:10, joes wrote:lol. The natural numbers are infinite, period... !Am Thu, 24 Oct 2024 12:46:05 +0200 schrieb WM:The possibility of always even greater ones in natural numbers proves potential infinity.On 23.10.2024 20:59, joes wrote:Yes, and those are mapped to even greater ones!Am Wed, 23 Oct 2024 20:03:48 +0200 schrieb WM:Impossible since all have been mapped, even the greater ones.On 23.10.2024 13:37, Richard Damon wrote:Every single number is greater than its original, but for every number
>Your complete set of the Natural Numbers is not complete.I take what is given: the complete set of natural numbers. I double it
an get, according to mathematics 2n > n greater numbers than were
given to me.
in the mapped set there is a greater one in the former set.
The greater ones have not been doubled because doubling of a complete set creates a set covering a greater interval than covered before. (Half the density implies twice the extension.)
Regards, WM
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