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A Numberphile video posted earlier this month claims that the sum of all the positive integers is -1/12. I’m usually a fan of the Numberphile crew, who do a great job making mathematics exciting and accessible, but this video disappointed me.
Sometimes you want to learn a “new” multiplication algorithm from a general interest math book, sometimes you want to learn why voting systems are doomed to imperfection, and sometimes you just want to play with numbers, patterns, and pictures.