for me, path to expertise is knowing the "language", "practicing maturity," and system 1 mastery of a topic. i think expertise is "mastery of system 1(ref Dani

for me, path to expertise is knowing the "language", "practicing maturity," and system 1 mastery of a topic. i think expertise is "mastery of system 1(ref Daniel Kahneman) of a topic." which means identifying more "patterns" through "practice and observation." the patterns capture both the rights and the wrongs. the entry to any subject is "learning the language" of the subject. what comes next is to become "mature." maturity is based on amount of practice in a big and unbiased search space, the ability to play with subject and identifying primitive constructs, ability to criticize and seeing the weaknesses, the measuring method for maturity level is amount of "simplicity," "freedom", "flexibility", "speed", and "ability to identify the essence" that the system one adheres to bring. excerpt from Saunders Mac Lane "category theory for working mathematician." "many properties of mathematical construction can be identified using universal mapping properties." see how simple the definition is?