We know that 1 + 2 = 3....and that 1+ 2 + 3 > 1 + 2. Right?
So, what is 1 + 2 + 3 + 4 + .....? Most would guess infinity.
But, the unbelievable answer is -1/12.
No way, I can here you saying. But, it can be proven mathematically. And, we all know that mathematical proofs are infallible...i.e TRUTHS!
Want to see the mathematical proof? View this argument from
SPLOID, which portrays itself as "a blog of awesome things for people who like to dream about the future."
Make sure you view the full YouTube video provided.
So what to do...as the video even mentions that this surprising result is even used in string theory!
If you remain a skeptic (and I hope you do!), then consider the arguments provided in Quora.com.
And, if you want true resolution, find and browse through Leonhard Euler's Elements of Algebra text, written when he was blind and published in 1765.