Let me add to that. It you don’t have somebody challenging you and checking your work, you will likely plateau very quickly unless you are especially gifted.

Let me add to that. It you don’t have somebody challenging you and checking your work, you will likely plateau very quickly unless you are especially gifted. You will Hit walls of concrete and walls of glass. You will misunderstand concepts and not notice it. Your proofs will have logical gaps and you won’t notice it.