Not a bad documentary, but definitely viewed it as more of an introductory teaching lesson for children. It's not great for anyone who is at all versed or has any deep interest in science or math, as it does not go any deeper than the surface level for all the theories it posits. Most of the documentary is introductory paradoxes, theories, or thought experiments. Like Hilbert's paradox of the Grand Hotel (a hotel with infinite rooms and infinite guests), along with a good explanation of the Poincaré recurrence theorem. The example of the latter used in the doc was an apple in a box left for a near infinite or infinite amount of time would decay into particles and eventually after such a period of time elapsed would have to return back into its original state of a fresh apple. Because there are a finite amount of particles making up the state of the original apple, there are a finite amount of states those particles can be in. Therefore once the amount of time it takes for all the particles to go into every state they can, they will have to return into its original state of a fresh apple at some point; after repeated other states as well.
Review of A Trip to Infinity
