To be fair, being alone doesn't mean that you're an introvert. Extraversion means you
want to not be alone. Introversion means you can handle being alone. House obviously has problems outside of his personality type. And for the record I agree that House is a crackpot INTJ (aka INTP).
Here's one thread I know about:
http://personalitycafe.com/guess-type/22259-house-m-d.html
House is an introvert. I've listed reasons I believe so in other threads on here also, his best friend said this season on the show "House, you've always been alone." The thread on this at typology central I think is 101 pages long. I haven't seen the thread at INTP forum. I have a video to add, I'll be right back.... hehe...
Crackpot INTJ ( stolen from the very long thread at Typology Central )
YouTube - House MD - Is there a doctor in the House ?
Why does every NT type want to claim this douchebag anyway?
Personally, I'm fine with people thinking I'm a douchebag as long as they think I'm a
correct douchebag. It's a very INTP thing that also seems to be how House functions (while an INTJ would probably want to be thought of as a douchebag that can accomplish something, an ENTP would want to be seen as a creative douchebag, and an ENTJ would think of themselves as a douchebag who can inspire other people to be correct). So for me the reason I want to claim him is that I see it as the truth.