Corrected entry: In the scene where Nash and his friends are in the bar discussing how best to approach the blonde and the other girls, Nash suddenly has an idea which later leads to the game theoretic concept of "Nash equilibrium". However, Nash's description of this concept in the bar scene is totally, utterly wrong.
Corrected entry: There are two references to the age of Nash's son which take place in 1994. In both cases he is referred to as a young man in his twenties - once by comparison to the waitress in the tea room and once as "being at Harvard". He also is shown in the last scene as some in their twenties. According to the movie he was born in 1954 or 1955 which would have make him far older than 20 in 1994.
Corrected entry: The little girl at the end is reading a book called "Millions of Cats," a book that I own two copies of - one printed in 1928, one in 1996. The film takes place around the 1950s, so it is not incorrect for her to be reading that book, but, she is reading the version printed in 1996, not the one she should be reading, printed in 1928.
Corrected entry: In the scene where John is carried out of Dr. Rosen's office by the orderlies, he is not dragging along the wheelchair, but when he leaps out of it moments earlier, he was chained to it by his ankles. The two orderlies make no attempt to remove his ankle shackles.
Corrected entry: Just before John's admitted to the mental hospital, he's giving a lecture. Before he runs into the lecture theater he leaves his briefcase on the floor outside, but when he's giving the lecture, the briefcase is open next to him.
Corrected entry: Remember the scene near the beginning of the movie where Nash is in his room trying to come up with his original idea and hits his head against the window. When he turns to his imaginary roommate after that, there is blood on his forehead. Then, in some of the next shots, his forehead is clean, and then the blood returns on it.
Corrected entry: In the scene where Nash is speaking with the man from the Nobel committee and he receives the pens from fellow faculty members, the room in which they are sitting, supposedly a cafe, was actually the common room for Rockefeller, one of Princeton's five residential colleges. The room may have been used in the 1940s and 1950s as a cafe, but by 1994, it served a different purpose.
Corrected entry: The Nobel prize ceremony is actually placed in the Stockholm city hall, in a gigantic room called "the blue hall" (Blå Hallen in swedish). In the movie however, they seem to be in a theatre of some kind. Very very wrong.
Corrected entry: Nash says that he believes the universe is infinite in size because "all the data indicate it". As far back as Newton (1692) there have been problems with the theory that the universe is infinitely big. In 1929 - well before the time in which the film is set - Edwin Hubble discovered the universe is expanding and effectively put an end to the infinite universe theory. It is inconceivable Nash would not know this.