Does 1+2+3+4+ . . . =-1/12?

(Spoiler alert: Yes it does . . . probably . . . um, maybe . . .I mean, it has to.) An interwebs firestorm has been raging recently about a Numberphile video that makes the astounding claim that if you add up all the positive whole numbers from one to infinity, the result will be -1/12. To write it out more concisely1+2+3+4+ . . . = -1/12 , (where the three dots indicate all the rest of the positive numbers up to infinity)If you haven't seen the video, take a look - it's short. Fascinating, isn'...