I haven't watched more than a few of these, but I have friends who are avid fans so I opted to order a few of these.  It also fits well into my Fantasy Logo category, which is my favorite.  I like ordering shirts for that category.  Also, Dr. House is definitely a cool nerd; intelligent, educated, and aloof.  

Personally, I would have second thoughts about going to a hospital known as a "teaching hospital".  I think I would rather go to a "taught hospital", if you know what I mean.  When I picture a teaching hospital I see a million interns herded by a couple of frazzled instructors.  I am sure that is not the real situation, but in the world of marketing for a hospital I don't know if calling yourself this would entice more potential patients.

By the way, I found this article about a Soviet doctor in 1961 who removed his own appendix using local anesthesia.  Hard core.