@neongamewave: I believe that the Doctor's intellect can certainly be outmatched. I can't prove it though.The issue is that if you get a Doctor Who fanboy up in this thread (which thankfully there aren't very many here), he'll deny that anyone is smarter than the Doctor and there's little you can do to prove him wrong.
Pointing to other characters who are PIS machines doesn't validate the Doctor's status as one.
I stand by the statement that the Doctor is not fit for battle boards. His feats are incredibly hard to quantify.
@vitalius: just ask about. I would bet that Wonder Woman gets mentioned (mostly from males). People will probably say "she's just a female Superman" or "she's just lame. Who likes Wonder Woman anyway?"