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Le 26/03/2024 à 04:40, "Chris M. Thomasson" a écrit :infinity + 1 = infinityOn 3/25/2024 4:23 AM, WM wrote:Try to think better. Complete means complete, i.e., no element of ℕ is available to be added to ℕ.Le 24/03/2024 à 22:33, "Chris M. Thomasson" a écrit :>On 3/24/2024 1:20 PM, WM wrote:>Le 24/03/2024 à 21:16, "Chris M. Thomasson" a écrit :>On 3/24/2024 1:13 PM, WM wrote:>Le 24/03/2024 à 21:11, "Chris M. Thomasson" a écrit :>
>adding one to infinity = infinity.>
If ℕ is complete no natural number can be added.
Sigh. You are misunderstanding infinity... I think wrt infinity, when you hear the word "complete", your mind instantly thinks, "finite".
Can you add a natural number to the set of all natura, numbers?
ℕ is not finite!
But it is complete. Sets are complete in ZF.
I think you are confusing complete with finite. This is not true of ℕ.
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