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I was some youtube videos and i got sucked into this channel called "numberphile". They were talking about infinite sets. In particular the set that is the sum of all natural numbers. Through some creative algebra they demonstrate the proof. Somehow the set that is equal to the sum of all natural numbers :1+2+3+4+5+6+7+...... is equivalent to -1/12. The algebra is easy enough to follow that a high school student could keep up quite easily. But intuitively I just can't accept it. They say that whenever this set is encountered in their mathematics by simply substituting -1/12 the math is accurate every single time. Anyone here a total math whiz that can explain this in a way that makes sense intuitively rather than just "look here's the proof, we know its insane but it works!!!"?
I'm pretty good at math, but I was away from math for awhile and i no longer have that mathematical "intuition" that might've helped me understand the concept underneath the proof.
I'm pretty good at math, but I was away from math for awhile and i no longer have that mathematical "intuition" that might've helped me understand the concept underneath the proof.