The problem with 'motion' as the load-bearing property here is that there's an infinite number of derivatives at stake: x', x'', x''', etc. -- what is "the moti

The problem with 'motion' as the load-bearing property here is that there's an infinite number of derivatives at stake: x', x'', x''', etc. -- what is "the motion" ? What is supposed to be conserved about that motion? The intuition here seems to be that there's a continuity of some property involved in the "transmission of matter over time" which is unbroken, but its not clear what this is supposed to imply. It doesnt seem to imply, for example, that the universe operates like a closed system of motion simply because this property (whatever it is) is unbroken. There can be "global motion" without the need for discontinutiy/randomization/discretizatino/etc. in the trajectories of matter.