Professor Frank Morgan, in a naked attempt to create controversy and drive traffic, writes:

In my opinion, compactness is the most important concept in mathematics. Here’s an article, recently published in Pro Mathematica, that tracks compactness from the one-dimensional real line in calculus to infinite dimensional spaces of functions and surfaces.

Those are fighting words! Remember when Dan Drezner ’90 used to post pictures of Salma Hayek? Making claims about the most “important concept in mathematics” is the link-generating equivalent among my mathematical friends.

What do you think is the most important concept in mathematics? Being a statistician, I would go with the Central Limit Theorem.

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