Maybe the hardest thing about the continuum problem is explaining why it's interesting. A circle is any locus of points equidistant from any fixed point. There are no "lines" to intersect, just two common points in the overlapping circles. So what's the big deal.

As for Zeno, his runner cannot move at all, because to go half way, he must go a quarter of the way, and to go a quarter of the way, he must go an eighth of the way, etc. In other words, there is no distance the runner can cover, which is to say, he is no more a runner than the barber in the barber paradox is a barber. These are all variations on "This sentence is false," which is the natural language equivalent of math's division by zero, something that is neither true nor false but, rather, undefined.

So, what's the fuss about?