ZFC supplies for the function Number of Unit Fractions between 0 and x the result
NUF(x) = 0 for x =< 0 and NUF(x) = ℵo for x > 0.
So, according to ZFC the number of unit fractions grows between 0 and (0,
1] by more than 2.
This is impossible because between any two unit fractions there are "uncountably" many points which do not fit between 0 and (0, 1]. This
proves that ZFC does not deliver correct mathematics in this case, like in several others:
https://www.researchgate.net/publication/376587391_The_seven_deadly_sins_of_set_theory
Regards, WM
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