I just this minute got back from seeing the movie. It's after Nash asks his friend (the one who beats him at Go) if he can hang around Princeton. There'll be a long pause and his friend will ask if Nash will be needing an office. It will happen soon after that in the library. The student will say: "The functor {bite of sandwich} two categories as he's pointing." It happens fairly late in the movie. It has something to do with covering spaces, so I'm guessing it's t-w-o categories. This would be just the group to be hallucinating 2-categories, that's for sure! The show was sold out in Harvard square by the way. The audience liked it & applauded at the end. It's really well acted, but I feel emotionally abused by the experience. Saul Youssef
Incidentally, I'm going to take John Isbell to "A Beautiful Mind" tomorrow. He was at Princeton with Nash and was consulted by the author of the book on which the film is (apparently, quite loosely) based. Can any of you who have already seen it tell me exactly where in the film the conversation with the student which ends with the notorious "functors..(two or 2-)categories" line comes? I would like to be ready to try to play very close attention when it comes!