The show usually got it right, however. In The Five Doctors, 1st asks "Which are you? Third regeneration?" to which 5th answers "Forth".
"Good Heavens, there are Five of me now!"
The Master had burned through all 12 regenerations, died, stolen another body, was offered more regenerations as a bribe (presumably some modification to his Traken host body), died again, but was resurrected (along with Rassilon and others) during the Time War. Only to hide away and Die yet again.
I've always wondered what happened to Kamp-Po, The Rani, Iris WildThyme, and the other renegade time lords. What did they do during the Time War?
I think it is indicative of the problems with the New show, however that now we look for good lines. We used to look for good episodes, or good stories. Haven't seen one of those in 2 years.