A Beautiful Mind

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.

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)

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!

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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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Question: If the military code breaking was a delusion, why did Alicia converse with and have the door opened by an MP officer where she even said, "wow you must be really important." Why was the MP there then?

Answer: There was always a basis of reality for his delusion. As I recall it, early on, Nash was actually recruited by the Pentagon to study encrypted telecommunications of foreign enemies. Nash's association with the government appears to have been limited, but it became a springboard for his extreme fantasy of working for the U.S. Department of Defense and with the unreal Agent Parcher.

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