without an enormous number of failures. It’s a universal rule. If you look at bicycles, there were thousands of weird models built and tried before they found the one that really worked. You could never design a bicycle theoretically. Even now, after we’ve been building them for 100 years, it’s very difficult to understand just why a bicycle works – it’s even difficult to formulate it as a mathematical problem. But just by trial and error, we found out how to do it, and the error was essential.
– Freeman Dyson in a 1998 interview