Corrected entry: In the scene where House and Foreman ride the elevator down and are talking about Cameron, if you look at the the back of the elevator, there are panels where a light is shown moving up to signify that the elevator is moving down. When the elevator reaches the ground floor and there is a "ding," you can see that the light in the panels is visible while the door is opening, but then continues to go up and disappear out of sight even though Foreman and House are walking out of the elevator.
Corrected entry: In this episode we learn that Chase is 26 years old. Considering that he's studied to become a priest, gone through four years of college, four years of med school, two years as an intern, four years as a resident and that he's worked for House for at least a year, that means he graduated high school at the age of 10 (if not earlier).
Corrected entry: The show runs in approximately real time. "The Socratic Method" (1x06) is set around Christmas. Several characters note that it's House's birthday (although the exact date isn't specified). In the S2 finale, "No Reason" (2x24) House is wearing an admissions bracelet after being shot, and it reads "DOB 06-11-59."