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

[Bridge]

0.999... is not a number with nonzero decimals, despite how it looks when it is written.

Okay, so if you write a googolplex to the power of googolplex of 9s the distance between 0.999... and 1 is just absurdly small, but if you keep going forever it magically stops existing? Again, traditional mathematics aren't designed to treat infinity as meaningful data (because it is meaningless). Shaving off an infinitesimal, which by definition is infinitely small and yet not zero, is simplification. It's not a "proof" that should be regarded as gospel, in my opinion. I mean, just because your understanding of the natural world dictates that the infinitesimal is unknowable doesn't mean you can assume it's zero.