After rewatching the Davros arc in Series 4 (as well as the Christmas Invasion, which I didn't get all the way through the first time), I actually think you guys could be right; Ten might be ENFP. "I can't die because I'm too pretty" is definite Fi at work. He's still got oodles of Ti, all Doctors do, but the question is whether his Ti is stronger than his Fi. I think Fi is stronger (making him ENFP), but he's certainly ENxP in any case.
Still; Jen, babe, you still need some serious work on your Fi-Fe distinction. Oh, and Nine is most certainly ENFP as well, which means Eleven is likely the first ever NTP incarnation.
Oh, and BTW, I don't get the whole "The Doctor always has INTP functions" thing. I mean, ENTPs also have all those functions in a similar order, and since he's almost always an extrovert with a lot of Ne, wouldn't ENTP be more like him?
Ti | Fi | Ne | Si | Te | Ni | Fe | Se
Enneagram: 5w4 sx/sp
"When you have eliminated the impossible, whatever remains, however improbable, must be the truth."
"It is a capital mistake to theorize before one has data. Insensibly one begins to twist facts to suit theories, instead of theories to suit facts."
Overall archetype: ISFj-Fi. The lonely god, filled with intense moral fervor and a desire to help others, crushing evil throughout the galaxy.
Originally Posted by Mr. Sherlock Holmes
Yo! Aleksei! My questions? What of them?
Sorry. Well, I've actually been having second thoughts about that. The Doctor is actually more of a Wonka-ish archetype, and the more consistent theme of his personality is an Fi bent. I think he's more of an ENFP architect, rather than INTP.
By the way, I think you yourself are probably ENTP rather than INTP.