> we use continuum-sized sets to describe physical space But... we don't. We use integers to describe physical space. We have real numbers as a mathematical co

> we use continuum-sized sets to describe physical space But... we don't. We use integers to describe physical space. We have real numbers as a mathematical construct, but we have never applied them to even a single physical problem. That's impossible to do, because specifying a real number takes an infinite amount of information.