Everyone thinks I'm joking when I recommend them Proofs and Refutations (a book about the philosophy and practice of mathematics) and tell them that it's a gripping read and utterly hilarious.
This is also important (needs a separate thread). Deep proofs are often found in the shower (specifically—and what is it about showers that do the job?). The mode seems to be kinesthetic, approximately—also a long-evolved vertebrate function.
https://twitter.com/St_Rev/status/1149775529802960898…