When the pens are being placed on Nash's table, they switch from being perpendicular to Nash to being parallel.
When Alicia drinks a glass of water in the bathroom she empties the glass. Cut to the next shot she splashes the wall with a good amount of water and then throws the glass, breaking it.
As Nash walks on the Harvard campus on his way to the math conference (shortly before being chased by Rosen and his men), he drops his bag behind him to hug his roommate and the young girl. During his conversations with them, the bag remains on the ground. Within one second, just before Nash walks off, the bag goes from being on the ground to being clutched to his chest.
On the "hot Day" when the air-conditioning isn't working, the open window reveals a tree bare of leaves, and Nash arrives at the office in a heavy overcoat.
When they throw the desk out of the window, the blood on Nash's forehead disappears.
There is no "ceremony of the pens" at Princeton University.
John Nash didn't receive the Nobel prize alone, but with colleague Reinhard Selten and Hungarian-born János Harsányi. "Game Theory" was initiated by Hungarian-born John von Neumann and Austrian-born Oskar Morgenstern in 1944.
John's and Alicia's baby son first appears in 1955 depicted as being several months old. Then in 1956, he is played by the same baby and appears not to have aged a day while in fact he should have been depicted as a toddler. In reality, the son wasn't even born until 1959.
Strictly speaking, John Nash didn't win the Nobel Prize because there isn't a prize for Economics or Mathematics. (Alfred Nobel who willed his estate to the Nobel foundation saw no need for a prize in mathematics.) In 1969 the Swedish Central Bank established the "The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel". This prize is presented in the same ceremony and is therefore often mistaken for a proper Nobel Prize. It is even often referred to as the "Nobel Prize in Economics" in daily conversation; the fictional character of President Jed Bartlet on West Wing: Nos Bastidores do Poder (1999) was also presented as a Nobel Prize winner (for economics) with the show also not making the real-world distinctions.
When Nash receives the visit of the Nobel official at Princeton, he says he has a son the age of the college students. His son, John Charles Martin Nash, was born in 1959 and would be 35-year-old at the time.
A number of facts in John Nash's life were intentionally altered for dramatic and commercial reasons.
When John meets his roommate's niece for the first time, John describes Alicia as a "Homo Sapien". The singular is "Homo Sapiens". There is no such thing as a Homo Sapien.
Perhaps not in Latin (where Sapiens is an adjective), but in the ever-evolving English language, "Homo Sapiens" has become a noun phrase and can be singular. People en masse are Homo Sapiens and individually, each is a Homo Sapien.
Perhaps not in Latin (where Sapiens is an adjective), but in the ever-evolving English language, "Homo Sapiens" has become a noun phrase and can be singular. People en masse are Homo Sapiens and individually, each is a Homo Sapien.
Since the first outdoor scene at Princeton was filmed in winter, but is supposed to take place in the fall, CGI leaves were put on the trees. But the shadow of the trees have no leaves on them.
After Helinger tells John he will not receive any placement, the camera pulls back on John as he stands in the doorway. The actor's 'T' mark can be seen on the floor to the far right of the screen where John had previously been standing.
In New Jersey in March 1994, the trees are summer-green.
The time frame during his "recovery" is still the mid to late 1950's, however when Alicia is in the kitchen storing leftovers after dinner, she is using a piece of "Tupperware" that wasn't available until 1972! The original bowls had flat covers but the Astro Bowl was a bit different. The cover had the look of an accordion and came in vivid colors which were not used in the 50's.
At 1 hour and 19 minutes, when the nurse begins to remove the injection needle from Nash's arm, she applies a cotton swab to the injection site accidentally pushing the needle laterally across Nash's arm and demonstrating that the needle is an obvious prop.
At 1:36:52, in the dilapidated garage, there is a vintage Tektronix oscilloscope shown with the "phosphor" glowing, but the power switch and indicator light (center of bottom edge) are both off. Also, the color of the phosphor is wrong -- it would have been more of a pure green.
From the oscilloscope to the right, light of the same hue as its (fake) phosphor is shining against the case to its side; in reality the only light coming from inside would be the dim orange glow of vacuum tube filaments.
In 1951 Nash drinks from a paper cup with the "recycled" symbol on it.
The aerial view of the Pentagon includes the modern-day helicopter landing pad.
The student's "bad" tie shows stars and double helices. Although someone might have drawn those patterns already before the late 1940s when this scene takes place, the double helix as scientific symbol had its breakthrough not until 1953.
In the first scene in his dorm room at Princeton in 1947, Nash listens to a recording by the early-music ensemble Gothic Voices featuring soprano Emma Kirkby. The recording, of Hildegard von Bingen's "Columba aspexit," was not made until 1981; in fact, Emma Kirkby was not even born until 1949.
In the 1950s, Alicia is shown in her kitchen with a Tupperware Wonderlier covered bowl that wasn't available until the 1970s.
When Alicia calls Dr. Rosen about John's breakdown, he makes a house-call to their house. He was a psychiatrist at MacArthur Hospital (McLean Hospital in Belmont, MA), but drove all the way to Princeton, NJ where Alicia and John were living.
Several scenes with Nash sitting on the lawn are filmed in the old NYU University Heights Campus (now Bronx Community College). In the background are the busts in the "Hall of Fame of Great Americans".
In the bar when the boys approach Nash, he holds his research close to his chest so they cannot see what he is working on, but when he discovers his thesis he willingly tells Martin all about it.
As Nash is talking to Martin Hansen in his office, the reflection can be seen in the frame of the picture in the background.
Alfred Nobel's name is misspelled as "Noble" on the rostrum.
Even if the audience at the Nobel Prize ceremony would give a laureate a standing ovation, the Swedish King Carl XVI Gustaf and his family, who sit on stage to the right, would never, ever rise.
In the Pentagon scene, where Nash discovers the codes are map coordinates, one of the coordinates he reads off is "67-46-90", presumably in degrees, minutes and seconds. But in the degree-minute-second coordinate system, seconds go up only to 59, not 90.
Contrary to what the Nobel representative claims, "the Sveriges Riksbank prize in economic sciences in memory of Alfred Nobel" is not privately funded. It is financed by the Swedish state bank. (The five "genuine" Nobel prizes are funded by the legacy of Alfred Nobel.)
Alicia claims to have counted the stars in the sky and to have reached 4,348.
However, there are only about 5,000 stars visible to the average human eye and from any given viewpoint half of these will be hidden on the other side of the globe.
Even in perfect conditions on a completely clear night with no obstacles or light pollution she would have seen a maximum of around 2,500 stars.
However, there are only about 5,000 stars visible to the average human eye and from any given viewpoint half of these will be hidden on the other side of the globe.
Even in perfect conditions on a completely clear night with no obstacles or light pollution she would have seen a maximum of around 2,500 stars.