-- Many thanks to the many people who replied to my tangential query: 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! Fortunately, the information in Peter's original post turned out to be sufficiently precise for me to carefully listen when the scene occurred. The student says to Nash, "Galois extensions are really the same as covering spaces!" . Immediately afterward, the student (with a sandwich in his mouth) mumbles "functor(?)...two categories". Clearly, from the context he is explaining exactly what he means by "really the same", i.e., a (dual) equivalence of two categories, which is, of course, true. Of course, it would be amusing to have a line about 2-categories appearing in a Holywood film, but alas, we'll just have to wait. John was not feeling well at the afternoon time of the film, so I'll take him to it later if he still wants to go. But for this and the terrible weather he was quite enthusiastic to see it. Steve Schanuel, in particular, tells me how much he liked the film. It's certainly worth seeing. At the very least, it's a fascinating film cleverly exploring the contrast between a paranoid schizophrenic's view of reality and the rest of the world's view , even if it is only marginally related to, i.e., only " inspired by", actual events in John Nash's life. Incidentally, and off topic, does anyone know anything about this "presentation of fountain pens" tradition at Princeton? Best regards, Jack