Factual error: When Michael fills the tank with water (below the stock room), he then strips his clothes off, and slides down a pipe and into the water at the bottom of the tank. Since the water level was way above him, the pipe he slid down and the access to get there would have been flooded also. There was no water in the pipe he slid down, so for that area to be dry, it would have to be above the water line.
Factual error: The Doctor (and the staff on the station) refer to the idea of a planet being in orbit around a black hole as 'impossible'. It is not. Gravity (and physics in general) works perfectly well outside of the event horizon. For all practical purposes - regarding orbiting around it - the black hole might as well be any other object, as long as it has an equal mass. (00:07:15 - 00:08:30)
Factual error: In the beginning of the episode, Charlie is stating that "there is always a solution" and "if there's any limitation it's got to be in the mathematician, not the math". Unfortunately, according to Kurt Godel's incompleteness theorems, this is not true. Simply put, there are mathematical problems that cannot be proven/solved.
Factual error: In the episode, "Professor Blackjack", Manny puts a stack of one hundred dollar bills on the card table for the professor to bet. The bills are the new ones issued a few years ago with the enlarged portrait of Benjamin Franklin. The scene is supposed to take place in 1961.
Factual error: 1-11: I Married a Mind Reader. A nitpicking mistake, but on the set of "I Married a Mind Reader", the front door is a modern steel design. Back in the 60's, front doors were almost always wood (steel doors weren't available until the 1970's or 80's), and the window design would have been larger on a 1960's fan-window wooden door.
Factual error: When Rose is introduced to the entire team McGloin shakes her hand and says that he (respects or admires) anyone that has survived the POW school. She smiles, nods and walks away. McGloin then explains to the last remaining teammate that all NIOs attend the POW school and explains briefly what it is. First: It is the SERE school. Survival, Evasion, Resistance and Escape not really POW. Second: Not all, not even most, NIOs attend SERE school, just some.
Factual error: When she's giving the historical tour, Sarah talks about how the Puritans who settled in Point Pleasant faced hardships during their first winter there. But the first village at Point Pleasant was built in 1817, a century and a half after Puritans ceased to exist as a distinct group.
Factual error: In Season 3, "The Arwin That Came To Dinner," in the scene where Arwin is licking his plate clean (that supposedly had food on it), notice that when he does this you can hear that high pitched waxy sound. Oddly enough, if you get a clean plate straight from the dishwasher and rub skin against it, you can hear that same sound. Meaning that there was never any food on it.
Factual error: The tail section of the crashed plane is from an early model 737, based on the curvature where the forward edge of the vertical stabilizer meets the top of the fuselage. The maximum seating capacity would have been about 130 passengers, while the number of crash victims was given as approximately twice that.
Factual error: Jonah tells Richard that Saturn has a "rogue moon" in a retrograde orbit that travels "at four times the speed" of Saturn's other moons. The graphic on Jonah's computer shows that the moon in question is Phoebe, which does indeed orbit in the opposite direction from other Saturnian moons. And the graphic correctly shows Phoebe's orbit as being much further from the planet than the other moons. However, as a direct consequence of its greater orbital radius, Phoebe is actually among Saturn's *slowest* moons. It has a longer orbital period (or "month") and a slower orbital velocity than all the Saturnian moons with smaller orbital radii, of which there are twenty.