3.3

1) I found it difficult to remember I was dealing with functions f(a) in the case of iso- and homomorphisms, and not simply elements a.

2)I enjoyed seeing how different sets could be seen as relabelings of other sets. It just opened up my mind to the potential of many more relationships and unique perspectives.

2-3/3-1

1) I always have a hard time understanding the purpose of existence and uniqueness proofs. In trying to follow the logic, I have the same feeling when I try to follow circular logic. I don't see what we accomplish. It's still hard to see how to prove something I instinctively know to be true.

2) After reading Theorem 2.11 and the facts leading up to it, I really felt it worked like magic. And then I started to wonder, hmm, why does it work, and then I knew a proof was coming. And then it did. I feel like I have a special spidey sense for upcoming proofs now.