Culture existed just fine before copyright law. The sort of culture that would be eliminated would be the works motivated by wealth. Musicians would still make music, writers would still write, and artists would keep doing what they enjoy doing. The only difference would be in their motivations. Yes, there would be fewer creations, but the creations that remained would be true works of art.

Nothing would disappear. The ways in which information is created would shift. As it exists now, people create works and rely on the government to protect those works. Without copyright, they would have to get funding up front.. before they create the information. Once created, it is for the world to consume. Information that hasn't been created or communicated yet still has intrinsic value. Its value is in the fact that it can't be reproduced. Once you communicate that information, its value is lost. Gold would cease to have value if it was effortlessly reproducible.