If nothing is infinite, are there infinite dimensions?

Ah, but if we blend Professor Joyce's mathematical, "if it's possible it exists" with my "nothing exists" we arrive at a place where we live that has infinite dimensions because we have conceived of a place that has infinite dimensions. read more

Ah, but if we blend Professor Joyce's mathematical, "if it's possible it exists" with my "nothing exists" we arrive at a place where we live that has infinite dimensions because we have conceived of a place that has infinite dimensions. read more

But anyway, if there were an infinite number of dimensions, then wouldn't that mean there were an infinite number of degrees of freedom, and you'd have the same issues as with an infinite number of infinitesimal particles. read more

No—we’re not quite sure if it is 3, 11, or some other number, but no model predicts that it is infinitely many. If you were to model a fluid with something like the Navier-Stokes equations, you will be implicitly working with a space that is fairly high dimensional, but certainly not infinitely dimensional. read more