I just watchedA Beautiful Mindfor the second time, and there are two things that I'd like feedback on.

1) John's erstwhile girlfriend asks him "how big is the universe?" He replied that it was infinite. Well, I for one am not convinced that it is. Inconceivably large is not infinite. Are there any other opinions here?

2) For John's first attempt to teach a class, he writes a problem on the board. Did anyone catch what the problem was? Was it merely a prop? I tried to transcribe what was written, but it didn't make much sense to me. Something about function spaces, it seemed. Anyway, the last line was a number. The answer is a number, the ratio of two dimensions. It was a real number, probably. Perhaps it's a natural number, but a number, nevertheless. If the problem was an actual-real-live mathematical problem, then what is it, what is its history (if any) and what is the answer? Giving the statement of the problem and the answer is not giving the solution, for that would require giving the steps leading up to the answer, and that is NOT what I want.

Thanks for anything, Charles