If you know me a decent amount of time, you know that I really don't like analysis. Unfortunately my directed reading this semester is on ergodic theory, which (to my dismay) is built on top of measure theory. So I have to learn a smidge of measure theory this semester. This is a bit of a brain dump of what I've learned so far, with minimal organization for the time being. I'm planning on coming back to it to reformulate it in a more understandable way, and maybe even writing a cheat sheet (emphasizing intuition) that I can point to as reference in the future.