\(Huh?\\ why \space does \space \sum^{\infty}_{n=1} n = 1+2+3+4+5+6+...+ \infty = - \frac{1}{12})?\)
For standard arithmetic it doesn't! To see under what conditions it does, watch the following: https://www.youtube.com/watch?list=PLmNp3NTX4KXIqtjt2AKOr4DUIxn64xj8G&v=jcKRGpMiVTw