1. Probably the most difficult part for me was just understanding what was in the proof analysis. I read through the proofs, and I realized that a lot of assumptions were being made. I guess that's what the proof analysis is for...explaining the assumptions. I am predicting that I have a semi-hard time figuring out what assumptions are obvious and what assumptions need to be stated.
2. I didn't realize that proofs don't have to be orderly steps in a table. I guess this is what I get for doing proofs in 8th grade geometry and then never doing one since. They seem so simple and look so clean! I am excited about this new tool of proving odds and evens using 2*k and 2*k + 1. I feel like this would have been very useful during the last 22 5/6 years of my life, had I been smart enough to know it. I am realizing now that the reason proofs are written so cleanly and simply is for people like me.
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