People who say "we need a world without money" are actually saying "we need a world without trading and barter," for the two are the same.

Money is simply the good for which people most commonly barter. Remove any form of money from society and you'll quickly observe people finding other things to trade with.

If trade and exchange are occurring, then goods are being traded between people. Whichever good is most commonly used in trade is given the name of money. Not only is it a silly idea to "remove money" from society, but it is in fact as impossible as removing speech.