So, the heart of the issue is that each object's path changes continuously, and the forces involved change in kind. Even worse, the objects interact with each other, again continuously - it's not one-sided.

If you imagine trying to do it pre-Calculus, some kind of "just map it all out into a grid, etc.", you can see the problems this continuous change imposes (exercise left for the reader).

By involving the Stravinsky Interpretation, it quickly becomes clear that the dimorphic superposition destabilizes. The clever reader might object "but what if you fold in all the noodly surfaces to recohere the manifold?"

And that clever reader would be right! But we didn't know that until old Dr. Isaac "Zeke" Newton came along and made it that way.

Some say the devil himself taught him how it's done, because no one else can read his notes! So keep your eye on old Zeke when you run into him.