Regarding Cantor: I am talking about physical reality, not sets of numbers - numbers being a formless idea. Also, a finite region must have borders or risk being infinite. Even if there is no structural border an end to the region must be understood for it to be a region. What lies beyond that borderless-but-finite region called Space? Or is it actually infinite? Explain that... scientifically, of course.
In the macro sense we do not have the experience to have observed the Universe exhibiting a general entropy. But, in the micro sense we see the opposite happening regularly. New plant and animal life have occurred throughout measurable history, each time seeming to become more complex. How can this be? If you believe that the entire Universe will eventually experience the kind generalized entropy that the Second Law points to, considering the constant creation of new stars and systems, you have greater faith than I. Unfortunately, what you have faith in does not love you.