Forget about the complications and negatives of living in a moneyless world for one second, but don't you think humanity could finally advance?
ABSOLUTELY! It's called a gift society and is based in love. It will never happen.
I could see this 'not-reality' happening right now:
Dear Sony,
Please send me a playstation 4 with metal gear solid V and Destiny .. oh and street fighter Too!
Dear Safeway Grocery Stores,
Please send me one of the following each week in perpetuity:
...
.....
.......
........
∞∞∞∞∞
Dear Snoop Lion,
Please send me 1 lb of your finest, dankest, ∞∞∞
....
and so on and so on
People's priorities would have to change and it would take a great deal of responsibility. So ya, never gonna happen.