1. The most difficult part of the reading by far for me was understanding the proofs. The concept seems to work really well in my head. I understand the concept of induction: We have to prove the first value, then we assume it for an integer k and prove it for an integer k+1. Simple enough. But the book was right, the algebra is where people get confused. I just don't know when we're switching from RHS to LHS. I think I've always struggled a little bit with inequalities. Those greater/less than signs get me every time.
2. Well I was pretty excited when I did the reading and understood something about proofs with sets on the first time through. It's pretty awesome to see proofs that I already understood and knew well to be proved further. As far as I can see, induction is a fancy way to prove that things are true for every value. It's a nice way to feel really secure about theorems and be 100% sure they are true. I like it. I hope that I actually do understand it.
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