+_It was supposed to hurt_. One could imagine a Jane Austen character in this situation doubling down on his antagonism to everything school-related, in order to protect himself from being hurt—to protest that the teacher hated him, that the quizzes were unfair, that the answer key must have had a printing error—in short, that he had been right in every detail all along, and that any suggestion otherwise was credentialist propaganda.
+
+I knew better than to behave like that—and to the extent that I was tempted, I retained my ability to notice and snap out of it. My failure _didn't_ mean I had been wrong about everything, that I should humbly resign myself to the Student Bucket forever and never dare to question it again—but it _did_ mean that I had been wrong about _something_. I could [update myself incrementally](https://www.lesswrong.com/posts/627DZcvme7nLDrbZu/update-yourself-incrementally)—but I _did_ need to update. (Perhaps, that "math" encompasses different subskills, and that my glorious self-study had unevenly trained some skills and not others: there was nothing contradictory about my [successfully generalizing one of the methods in the textbook to arbitrary numbers of variables](https://math.stackexchange.com/questions/15143/does-the-method-for-solving-exact-des-generalize-like-this), while _also_ [struggling with the class's assigned problem sets](https://math.stackexchange.com/questions/7984/automatizing-computational-skills).)