I've hypothesised before that learning math might be useful because a) you get lots of practice in understanding abstraction and how abstract objects can meaningfully be manipulated using rules, and b) you hopefully learn that proofs are nobody's opinion. So basically a lot of practice in using basic logic. Neither of which require study of useful or existing things.
Though obviously it would be preferable if the actual content were about useful stuff as well, to get double the benefit, it's not inherently useless.
Will Newsome has suggested that I repost my tweets to LessWrong. With some trepidation, and after going through my tweets and categorizing them, I picked the ones that seemed the most rationality-oriented. I held some in reserve to keep the post short; those could be posted later in a separate post or in the comments here. I'd be happy to expand on anything here that requires clarity.
Epistemology
Group Epistemology
Learning
Instrumental Rationality