3.1-3.3, due on January 20

1. I think the most difficult thing for me to grasp is when to use a lemma. In the last example of section 3.3, I understood why using a lemma made the proof easier, but I don't think I would really think about that as a proof strategy. Hopefully it's one of those things that gets easier with practice!

2. I liked what it said in the reading about how a theorem can be beautiful to a mathematician. I usually don't like proofs, but I'm hoping that I can change that attitude through taking this class.