Infinite casual chains and the beginning of time? Well i mustered the stamina to read the rest of the article. I don't feel like the author really gets Descartes (he is too into modern physics for that). Descartes was the first philosopher I got into, the first I really liked, as an adult. For him, there are spiritual things, extension (matter), and forces which live in extension. Here are the rest of the important stuff from the article:
"In order to better grasp the specific role of Cartesian force, it would be useful to closely examine his theory of centrifugal effects... Besides straight-line motion, Descartes’ second law also mentions the 'center-fleeing' (centrifugal) tendencies of circularly moving material bodies: 'all movement is, of itself, along straight lines; and consequently, bodies which are moving in a circle always tends to move away from the center of the circle which they are describing' (Pr II 39). At first glance, the second law might seem to correspond to the modern scientific dissection of centrifugal force: specifically, the centrifugal effects experienced by a body moving in a circular path, such as a stone in a sling, are a normal consequence of the body’s tendency to depart the circle along a straight tangential path. Yet, as stated in his second law, Descartes contends (wrongly) that the body tends to follow a STRAIGHT line away from the center of its circular trajectory. That is, the force exerted by the rotating stone, as manifest in the outward 'pull' on the impeding sling, is a result of a striving towards straight line inertial motion directed radially outward from the center of the circle, rather than a striving towards straight line motion aimed along the circle’s TANGENT." (my emphasis, so you can see where modern theory disagrees with Descartes)
The article also says: "If, for example, God removed the matter within a vessel (such that nothing remained), then the sides of the vessel would immediately become contiguous (but not through motion)". It is not through motion because Descartes had what he called the “first preparation for motion”. This is the center of his vortex theory of the universe, which for him acts as a unified mechanical whole. He didn't believe time existed outside us, so there are simply the turnings of the wheels, going back to the first motions. He didn't believe you can prove there is a God from nature. Nature simply works like a clock, and as for clocks (which he loved), they don't delineate anything that is outside our own brains