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On 1/27/25 6:25 AM, WM wrote:Actually, it still kind of bends my mind to think of the (actual infinity, note to WM) of the naturals wrt to a limit that is outside of them. This limit is not a natural number... An "outside" limit to an unbounded infinity is interesting.On 26.01.2025 21:26, Chris M. Thomasson wrote:But there are an infinite number of them, so we can ask if they become something in the limit to infinity.On 1/26/2025 1:42 AM, WM wrote:>>{1}>
{2, 1}
{3, 2, 1}
...
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Can you see that the first column is not longer than all finite rows?
As you take this to infinity, your rows become infinite... ;^)
No. FISONs are finite. The infinite is completed by the succeeding numbers: ∀n ∈ ℕ_def: |ℕ \ {1, 2, 3, ..., n}| = ℵo.
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Regards, WM
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All you are showing is that you don't understand what a limit is, how logic works, or the difference between finite and infinite things.
Sorry, you are just proving your stupidity, and that you are so stupid you can't understand your own stupidity.
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