It's clear and evident that no particular place in space is special, and nor any particular direction.
It is also true (ignoring relativity) that there is no absolute rest; we cannot determine whether a particle is at rest.
Is this tied to the fact that there is no fixed origin of space? Ie conceiving space as a Cartesian grid then there is a point of origin of the axes; but in actual fact there is no such place.
For supposing that there is such a place, then given a particle in that space we can measure the distance of the particle from it with time; and if this doesn't change we can say the particle is at rest.
Is this a good argument?
(In Aristotelian terms we can say that every Place the particle can occupy is identical).