Where No Man Has Gone Before - S1-E4
Character mistake: When Sulu is explaining the mathematics of Gary Mitchell's powers getting stronger, he says they are increasing "Geometrically", and then uses the popular example of doubling a penny every day for a month. What Sulu is describing would actually be exponentially. (00:24:14)
Tomorrow is Yesterday - S1-E20
Factual error: Towards the end of the show the Enterprise is leaving Earth orbit and heading towards the sun. We see the Earth diminish and the moon appear looking exactly as it does from Earth. From this angle we should be seeing the "dark side" of the moon, which looks completely different. (00:40:50)
Amanda: And you, Sarek, would you also say thank you to your son?
Sarek: I don't understand.
Amanda: Well, for saving your life.
Sarek: Spock acted in the only logical manner open to him. One does not thank logic, Amanda.
Amanda: Logic, logic - I'm sick to death of logic! Do you want to know how I feel about your logic?
Spock: Emotional, isn't she?
Sarek: She has always been that way.
Spock: Indeed? Why did you marry her?
Sarek: At the time, it seemed the logical thing to do.
Trivia: The Vulcan Nerve Pinch was invented by Leonard Nimoy as a way for Spock to overpower opponents without having to resort to violence.
Question: When Kirk and crew neutralized all the androids on the planet, what happened to the androids on the Enterprise running the ship?
Answer: If all the humans beamed down and only Androids were on the ship as Larry Mudd said then how did they get back aboard the Enterprise if all the robots were shut down.
Harry Mudd. The androids were reprogrammed on the planet, and the crew was beamed aboard. The ship was on autopilot.
Answer: After causing Norman to overload, all of the other androids shut down. The same could be said for the androids on the Enterprise.