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On 07.09.2024 14:37, Richard Damon wrote:Why can they not „fit”?On 9/7/24 8:04 AM, WM wrote:Stop that nonsense. ℵo unit fractions cannot fit into every interval (0,NUF(x) changes by 1 because a change by more at any x would count moreAnd thus is always has a value of aleph_0 for all x > 0, since there is
different unit fractions 1/n, 1/m, 1/k, ... which are identical
because they are the same x = 1/n = 1/m = 1/k = ... .
always aleph_0 unit fractions below and finite positive x value.
x). The distance between two unit fractions already is larger. And if
you claim that ℵo unit fractions exist, then you must accept that their
distances do exist too.
By the way this is independent of the existence of NUF.
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