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On 17.11.2024 12:01, FromTheRafters wrote:So, you're saying that if I take aleph_zero natural numbers and I remove the aleph_zero odd numbers from consideration in a new set, I will have a new emptyset instead of E?WM was thinking very hard :>On 16.11.2024 22:33, Moebius wrote:No, it is not.
>For example "aleph_0 - aleph_0" is not defined.>
Small wonder. ℵo means only infinitely many: |ℕ|, |ℚ|, and many others.
|ℕ|-|ℕ| however is defined.
If sets are invariable then ℕ \ ℕ is empty.
If |ℕ| concerns only the elements of ℕ, then |ℕ|-|ℕ|= 0.
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