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On 08.09.2024 22:11, Richard Damon wrote:More precisely: every positive x has infinitely many smaller unitOn 9/8/24 3:48 PM, WM wrote:ℵo unit fractions are claimed to be smaller than every x > 0. If that isSelect any gap between one of the first ℵo unit fractions and itsBut that is changing the value of x in the middle of the problem which
neighbour. Call its size x. Then ℵo unit fractions cannot fit into the
interval (0, x), independent of the actual size.
isn't allowed.
Given that new x, we can choose a new set of Aleph_0 unit fractions
below that x.
true then I can choose as the x one of the ℵo intervals between two of
them.
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