Wait what? (1+2+3+4+...

[Bridge]

0,999...= 1 has a valid proof

So, apparently, does this. It doesn't matter whether it's "accepted" if it is clearly erroneous. Anybody can tell you that 1 + 2 + 3 ... = -1/12 violates a fundamental mathematical principle: two natural numbers added together will always make a natural number. Similarly, 0.999... = 1 violates another principle which states that if you have a number with nonzero decimals it is not a natural number. These two are so obvious they scarcely need to be said. Why then do you accept illogical data that is the result of making calculations in systems that do not support said calculations?

EDIT: 0.999... doesn't really have anything to do with the thing you posted, I just hoped I could take the chance while you were in a skeptical mindset to make you rethink it. I still persist that the proofs offered to support it are facile.