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On 9/8/24 3:48 PM, WM wrote:
No.Select any gap between one of the first ℵo unit fractions and its neighbour. Call its size x. Then ℵo unit fractions cannot fit into the interval (0, x), independent of the actual size.But that is changing the value of x in the middle of the problem which isn't allowed.
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Given that new x, we can choose a new set of Aleph_0 unit fractions below that x.ℵo unit fractions are claimed to be smaller than every x > 0. If that is true then I can choose as the x one of the ℵo intervals between two of them.
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