Deliberate mistake: Winners of the Nobel prize don't give an acceptance speech - they usually give a lecture before the award is given, and then at the most say "thank you," or in Nash's case "money would be nicer".
A Beautiful Mind (2001)
1 deliberate mistake - chronological order
Directed by: Ron Howard
Starring: Christopher Plummer, Ed Harris, Russell Crowe, Jennifer Connelly, Paul Bettany, Judd Hirsch, Adam Goldberg
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)
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: 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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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