So, I was watching this video- 1+2+3+4+5...=-1/12 by Numberphile on YouTube. The first step was to find what the sequence in the title equals. If the sequence ends in an even set of numbers forming pairs.. the equation equals 0. If it ends in an odd set of numbers leaving a number unpaired, the equation equals 1. The average of it is 1/2 and taken as the answer. But infinite never ends, and the 1/2 is just the average of two different answers?? Isn't it pure intuition? Why not use this to prove that infinity is an even number? Because if not then 0=1 which is absurd! [0=1-1+1-1+1-1...]