Zeno's Paradoxes are a series of problems intended to challenge our view of reality. Some of these paradoxes (e.g. Achilles and the Tortoise) have been disproven by a better understanding of physics and the concept of infinity. Here is his "Paradox of Place":
"If everything that exists has a place, place too will have a place, and so on ad infinitum."
So my question is, is this argument rigorous, and if so, what are the implications of the fact that (as a direct consequence) every object in the universe has an infinite number of places? (e.g. I am at my "place", my place's "place", my place's place's "place", etc. as given by Zeno's argument)