It brings to mind an old sci-fi story that I read in my teens. Two scientists argue about whether it's possible to travel from one fixed point to another if every step you take along the way is half of the preceding step. One says that the distance is finite,so you're bound to get there eventually. The other says no, there will always be a small distance left to travel, however small it might be. To prove his point, he lures the first scientist into a chamber and asks him to walk to the end of it. As the man walks, a shrinking ray makes him smaller and smaller. He starts to realise that he's never going to escape the chamber. Eventually he gets so small that he drops out through the atoms of the floor and ends up full sized again in the basement. Typical 60s tripe, but my kind of thing, even now. I've no idea why I've bothered to type all that. Friday night, I guess. PS. No ferns were harmed in the making of this story.
Zeno proposed that it was impossible to get from point A to point B because, although the distance between is a finite number, it can be split into infinitely smaller and smaller sections all of which have to be travelled through. Given that you can never complete infinity you can, therefore, never reach point B. Or summat.