In House's last scene with Wilson, we get a clear view of House's digital wristwatch. The camera cuts to Wilson briefly, then back to House. But in that few seconds, several minutes have elapsed on the wristwatch.
During one of House's discussions with Wilson about whether House should attend the naming ceremony, House's watch says 1:03 PM. The camera then cuts to Wilson talking. When it cuts back to House, House's watch now says 1:12 PM.
The quote said to be from Albert Einstein, "Coincidence is god's way of remaining anonymous" is one of many quotes attributed to Einstein that were never said by him. It has also been attributed to Doris Lessing, but there is no source for that either.
5 minutes in, House calls Thirteen "Fourteen", instead of Thirteen. This is actually House combining the names "Foreman" and "Thirteen" since he wants both of them to stay behind.
House can't fire Foreman since Foreman was explicitly hired by Cuddy to provide oversight over House's team for her.