[ajuc]

It's actually the other way around - if space AND time is discrete Zeno Paradoxes are paradoxes, because you cannot have finite sum of infinite number of elements, if the elements can't get arbitrarily small.

So if anything Zeno proved (by contradiction) that space and time behave like they are continuous, at least for events in human scale (because arrow does move so our assumptions were wrong).

Now we see that this breaks at quantum level.