This article situates Descartes’ physical thinking within the nexus of machine science, which rests upon different foundational piers than regular classical mechanics of a Newtonian stripe. In particular, connected cyclic processes of the sort encountered in clockwork mechanisms (and Descartes’ own vortices) become central rather than impactive collisions of any kind. Such a placement supplies a more sympathetic understanding of many of his most notorious claims: conservation of ‘quantity of motion’, relationalism with respect to space, relative rest as an explanation (...) of particle cohesion, etc. Of course, the resulting system of ideas is not perfect, but the mistakes are more subtle than usually presumed. (shrink)