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@Silly Puddy: What do you mean by saying that MIT has difficult engr environment? Are you implying a cut-throat environment?
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No, and I didn't mean to be unclear on this point. From what I've seen at Princeton and from what friends at MIT tell me, I'd say that there's a lot of collaboration at both colleges. Both are friendly academic environments; neither is "cut-throat".
What I was trying to say is that a math/science/engineering degree from any tough college will almost inevitably be very difficult - harder workload, tougher curves. I've known a number of people who would be cream of the crop math/science students in high school who decided that while they could pull off an math/science/engineering degree at Princeton, that the added difficulty wasn't worth it (and often, this went hand in hand with discovering some new discipline that they found really cool). I personally believe that if you do end up switching majors, Princeton might be the better place for this, both because of the breadth of strong departments as well as the markedly larger non-technical community.