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<p>I suppose there are a lot of ways one can go through a strong program and ‘not be harmed,’ but there are always additional bonuses to certain programs. I was also hinting that diversity of offerings and / or faculty interests can lead to an enriching experience consisting of an opportunity to get exposed to many things from the experts themselves. I especially agree with the following:</p>
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<p>Now whether any of this is applicable to the MIT v. CMU debate depends on how different the MIT and CMU offerings / faculty are. </p>
<p>I think a good example I keep in mind is the math dept of a school like Princeton is very different from that of, say MIT. One is significantly bigger, probably has a lot more professors, course offerings, etc. MIT’s is a very well-rounded department in mathematics, although I daresay from actual insiders I know there may be a thing or two which they don’t have covered, which actually matter. None of this is to say someone attending Princeton, loving it and succeeding in it will be anywhere close to lacking in mathematical training - they will be some of the best around. Also, if one really wants to do certain things (as a grad student), inevitably Princeton will be an almost sure choice. But to say to a math undergrad that MIT doesn’t offer some benefits that Princeton may lack, and that (s)he should choose based on the student culture only would be misleading advice. </p>
<p>Again, none of this may be applicable to our debate, but I do think for it to bear much fruit, one must research how applicable it really is.</p>