Counterintuitive Mathematics

1 + 2 + 3 + ... + infinity = - 1/12

Proof here: https://www.quora.com/q/xatrostjubjfamhn/1-Grandis-Series-and-the-Ramanujan-Summation-1-2-3-4-5-1-12

How can a sum of positive numbers turn out negative, when each term in the sum is positive and greater in magnitude than the sum itself?

What are some other really counterintuitive mathematical results?

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