Other mistake: When Nash is put into the car and is being taken away to the hospital, there is a line of people watching him drive away. Two of the spectators are the imaginary roommate and the little girl. They are standing in front of rest of the spectators. As the car is driving away you see a female student look around the imaginary roommate to see the moving car. If the roommate can only be seen by Nash why did she need to look around the roommate to watch the car drive away? (01:08:30)
A Beautiful Mind (2001)
Ending / spoiler
Directed by: Ron Howard
Starring: Christopher Plummer, Ed Harris, Russell Crowe, Jennifer Connelly, Paul Bettany, Judd Hirsch, Adam Goldberg
Nash is a paranoid schizophrenic. His college roommate(Paul Bettany), his roommate's niece, and the Defense Department agent(Ed Harris) were all imagined. Nash is hospitalized, and undergoes intense experimental treatment with mixed results. In his later years, he's able to control his illness and goes on to win a Nobel Prize for his economic theories.
More mistakes in A Beautiful Mind
Nash: In competitive behavior someone always loses.
Charles: Well, my niece knows that, John, and she's about this high.
Nash: See if I derive an equilibrium where prevalence is a non-singular event where nobody loses, can you imagine the effect that would have on conflict scenarios, arm negotiations...
Charles: When did you last eat?
Nash: ...currency exchange?
Charles: When did you last eat? You know, food.
Nash: You have no respect for cognitive reverie, you know that?
Charles: Yes. But pizza - now, pizza I have enormous respect for. And of course beer.
Nash: I have respect for beer. I HAVE RESPECT FOR BEER!
Trivia: The entire film was filmed in sequence. Meaning that each shot you see in the movie is the order in which the filmmakers filmed it. This is unusual for films as filming in sequence can be very inefficient, as the filmmakers have to keep revisiting the same sets and setting them up more than once rather than just filming all their scenes while they have the set ready for it.
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Answer: You do not specify to which scene you are referring. The only window I recall with writing on it would be the window in Nash's room. John had covered this window in mathematical equations, theorems and geometric patterns. While most of the symbols used are Greek in origin, the language is simply that of mathematics.
Michael Albert