A Beautiful Mind

Factual error: At the Nobel Prize Ceremony, Nash is giving a speech. During a wide-shot right before he leaves the stage, you can see a few girls wearing white military style caps (to the right of the screen). Hats are in fact worn by Swedish students at the Nobel Prize Ceremony, however the style is completely different. The caps should have a much smaller, soft crown and not the wide crown of a military hat.

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Continuity mistake: During Nash's first lecture at Wheeler Labs, he writes a mathematical problem on the blackboard. However, you can see that the dimensions of spaces change between shots - first there is R^3, then R, and finally R^3 again.

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Factual error: John Nash enters Princeton as a graduate student (Ph.D.) candidate in 1947. By that time the Graduate College had already been built (1913) and is about three miles from the main campus. At that time, all graduate students had to live at the Graduate College building, and not where Nash is shown living with his imaginary roommate at the center of campus.

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Continuity mistake: During their first date, Nash and his date have a brief conversation where they have stopped walking after she makes the comment about God must be a painter. As the shot changes from each of their angles, the distance between the two changes each time.

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Quotes

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

Another indicator that the people weren't real: The little girl runs among some pigeons on the ground and none of the pigeons fly off.

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