“The rational numbers seemingly form a counterexample to the continuum hypothesis: the integers form a proper subset of the rationals, which themselves form a proper subset of the reals, so intuitively, there are more rational numbers than integers and more real numbers than rational numbers. However, this intuitive analysis is flawed; it does not take proper account of the fact that all three sets are infinite.”

Doesn’t QM demonstrate there is a lower limit to existence? So shouldn’t there be twice as many rational numbers between 0 and 2 as between 0 and 1? So zero wouldn’t be infinitely small. And you could divide by it.