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On 22.02.2025 11:34, joes wrote:Wow! This means that there are no differences between a set and itself. IOW the difference set is empty.Am Sat, 22 Feb 2025 11:12:17 +0100 schrieb WM:>On 21.02.2025 19:45, joes wrote:But Z \ {Z} = Z, because Z !e Z.Am Fri, 21 Feb 2025 18:17:32 +0100 schrieb WM:>Of course removing all elements from Z produces the empty set.Zermelo claims to secure the existence of set Z.Z is not a set containing Z; Z cannot be "removed" from Z.
This set can be handled, for instance removed from Z. A set containing
Z is not useful in this context.
Z \ Z = Ø
>
ℕ \ ℕ = Ø
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ℕ \ {1, 2, 3, ...} = Ø
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