<p>Nurturing … world-class research university … high-powered professors? </p>
<p>Wow. You should work in marketing.</p>
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<p>How a school is founded is a matter of history and the history/facts of that period in time. It’s also a non-issue if a school maintains an affiliation. The difference between the schools you mentioned besides being in different leagues (both literally and figuratively) is that Princeton (for example) currently does not have a majority of student that are Presbyterian but has sought and achieved a diverse student body.</p>