Why the sum of all positive integers is -1/12

[Via Boing Boing]

[yputube=http://youtu.be/w-I6XTVZXww]

Here’s a brain-meltingly cool proof of the bizarre mathematical truth that the sum of all positive integers (1 + 2 + 3 + 4 + 5….) is -1/12. This is not only provably true, it’s also foundational to certain testable elements of physics. In other words: not just a logical curiosity, but also the bedrock of real-world, useful stuff.

ASTOUNDING: 1 + 2 + 3 + 4 + 5 + … = -1/12 (*via Kottke*)

*Isn’t math just dandy? No wonder quantum physics is so very weird. Even intutive approaches to addition do not give the answer we expect.*

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