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On 02.09.2024 20:47, Chris M. Thomasson wrote:0 is not a unit fraction. See?On 9/2/2024 9:56 AM, WM wrote:On 01.09.2024 21:09, Chris M. Thomasson wrote:On 8/31/2024 8:27 PM, Moebius wrote:>>In general, for all x e IR, x > 0: NUF(x) = aleph_0.
Don't get confused by that nonsense. Everybody knows that unit fractions are different from each other. Therefore they cannot be counted at the same x, let alone at less than all positive x, i.e., at zero.I suppose you think you can prove there is a largest natural number as well?The proof with unit fractions is more convincing because 0 has been better accepted than ω. And it is really simple: At 0 there are no unit fractions. Then their set increases but all have different positions.
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