I’m a fourth year math major who planned things a bit poorly, and so I am taking my first real analysis course this semester. I have gained a new appreciation as I feel I can actually understand everything I learned prior and forward is easier to navigate with this foundation. But I always wonder, what does it mean to truly master a subject? Does it mean you do research in it and know the ins and outs even at the graduate level? Does it mean you can answer every question in a textbook with no problem? Does it mean you can answer every single problem related to your field of math? What does it mean to master something? I want to get better at real analysis and hopefully even master it one day, but I do not know what mastery of it would look like and so some insight would be greatly appreciated.