but something that will really blow your mind is the sum of the positive integers. 1+2+3+4+5+6+... is, you guessed it, -1/12. It goes against all rational thinking that it would be such a peculiar number,
Yes, it does go against all rational thinking. Because it is a hoax. The people that "proved" that basically used the same kind of ridiculous shell game that is typically used to prove things like the money multiplier effect. You can google "numberphile hoax" for more info i think there was a scientific american article about it.
also from another thread
I have a B.S. in Physics
seriously? And you bought that the sum of all positive integers is a negative fraction?
That said, upvoted for proving the point about absurd logic and deficient math behind the money multiplier effect.
Yes, you do have to accept that 1-1+1-1+1-1... is =1/2 which seems a bit sketchy but there are many absurd things in math (and physics) that somehow do seem to work. In a way, of course 1+2+3+4+5.... is equal to infinity, but that doesn't mean thinking outside the box is a bad idea.
It doesn't. But there's two parts to thinking outside the box. You have to be outside the box. And you have to be thinking.
Exactly my point