[Izzy]

I'm still going with that the assumption of the paradox is flawed. It makes sense that once you get small enough there is no smaller unit of space which means that there is always a finite number of these units between 2 points.

Only conceptually can you continue to divide the measurement in half, but physically this will inevitably become impossible. But even if you could infinitely divide a measurement in half causing an infinite amount of points between 2 points I don't think that automatically means that everything is impossible due to some kind of limitation on time.