> A startup as most people use the word means a comparatively small, comparatively young company that is designed to grow very big.

How many YC companies fit this definition? I thought the goal was to make the founders rich, which so far hasn't included growing into a big company.

Amer. Heritage: A business or an undertaking that has recently begun operation: grew from a tiny start-up to a multimillion-dollar corporation.

Note that's just example usage; startup doesn't denote a design to become a big company.