Imagine a 'Net where impossible-to-remember IP addresses reigned instead of roll-off-the-tongue domain names. (No GoDaddy girls, for one thing.) Even 25 years ago, with only a few hundred machines connected, that was unappealing enough to produce the Domain Name System.
P.S. Someone needs to ask Paul Mockapetris whether, "Hi, I invented DNS," ever worked as a pick-up line.