When House swings the sword in the conference room he slices the top off the anatomical head which is sitting on a shelf. The lower part of the head comes to rest tipped forwards, but when the shot changes it is upright again.
(At around 3 minutes 20 secs) the Captain's shield instantly disappears.
(At around 6 minutes 31 secs) Foreman lays down a chart in front of him. The chart moves around the table in subsequent shots.
Thirteen comments that Foreman wasn't wearing gloves when he shocked William's heart. But she was actually the one who shocked his heart, not Foreman.
When Sam confronts House in his office she says that she and Wilson both made mistakes in their marriage, but that it was "nearly a decade ago." Wilson tells Thirteen in the previous episode (6.16 "Lockdown") that he and Sam were married from 1990-1991, making their divorce nearly 2 decades ago.