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On 08.01.2025 06:45, Jim Burns wrote:Wrong.On 1/7/2025 4:13 AM, WM wrote:>On 06.01.2025 23:43, Jim Burns wrote:No.k ∈ ℕ ⇒ k+1 ∈ ℕ>
is true for both the darkᵂᴹ and the visibleᵂᴹ.
One exception exists: ω-1.
ω-1 does not exist, darkᵂᴹ or visibleᵂᴹ,
because
⦃k: k < ω ≤ k+1⦄ = ⦃⦄
If ω exists, then ω-1 exists.
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