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On 18.11.2024 18:15, FromTheRafters wrote:But you do have now a proper subset of the naturals the same size as before.WM brought next idea :>>Still wrong.|ℕ| - |ℕ| = 0 because if you subtract one element from ℕ then you haveno longer ℕ and therefore no longer |ℕ| describing it.
If you remove one element from ℕ, then you have still ℵo but no longer all elements of ℕ.
If |ℕ| describes the number of elements, then it has changed to |ℕ| - 1.Minus one is not defined.
If you don't like |ℕ| then call this number the number of natural numbers.Why would I do that when it is the *SIZE* of the smallest infinite set.
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