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On 2024-07-29 13:15:36 +0000, WM said:Not for every x. Growth by more than 1 is contradicting mathematics.
Le 29/07/2024 à 11:01, Mikko a écrit :The number of unit fractions between 0 and x is infinite
He also notes that what we have learned from finite quatities doesUnit fractions are isolated. They have distances. The function "unit fractions between 0 and x" can nowhere grow by more than 1.
not apply to infinity.
and the numberIf (0, x) is a subset of (0, y), the relative quantities are clear.
of unit fractions between 0 and y is infinite. Whether one infinity is
bigger or smaller than another infinity is not answerable merely on the
basis of our experinece about finite quantities but only after a carful
analysis if at all.
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