Two categories or 2-categories?

In the film "A Beautiful Mind," the first indication that John Nash is regaining his abilities is a conversation with a student ("Galois extensions are really the same as covering spaces!" exclaims Toby, the student). The scene ends with Nash and the student bent over some papers and -- as I heard it -- the student says: "Functor...Two...Categories" (The film's not bad but its relation to Nash's life is tangential. If I had not absorbed a hint from a review, I think I might have stomped out in the middle because of the ridiculous portrayal of what mathematicians do. It turns out that the filmmakers are playing a game -- very effective with most of the audience -- in sliding between perceptions: ours and Nash's.)