Other mistake: In the end, when Nash gets standing ovations from the Nobel-prize audience, you can clearly see that the name Nobel is spelled wrong on the platform which he stands behind. (02:07:10)
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: When Saul comes to visit John, John plays a joke on him by pointing to an empty chair and saying, "You've met Harvey." This is a reference to a play by Mary Chase titled "Harvey" in which Harvey is an imaginary rabbit seen by the main character.
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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