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What Honest Abe Learned From Geometry

Knowing geometry protects you: Once you’ve experienced the sharp click of an honest-to-goodness proof, you’ll never fall for this trick again. Tell your “logical” opponent to go square a circle.—Mr. Ellenberg is a professor of mathematics at the University of Wisconsin. This essay is adapted from his new book “Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy and Everything Else,” which will be published May 25 by Penguin Press.