Difficult: The thing that I found (and find) the most difficult is proving things slowly and logically. I look at most of these results and say "Oh yeah, of course that is true." But I find difficulty when I have to explain each step along the way. I need to understand very clearly what I am allowed to assume at what times. I guess that all goes back to definitions, but I have a hard time not showing all the steps because I don't even realize that I'm doing them. Maybe review what is allowed to be assumed when going between set notation and "x is an element of" notation.
Interesting: I really love and understand counterexamples (5.1) a lot more than the material Chapter 4. I guess it's because it's much easier to find one counterexample than have to account for all x in the domain. But I guess counterexamples don't prove anything, they just prove things incorrect. Which I guess is a proof?
(P.S. I found I mislabeled my last blog post 4.1-4.2 instead of 4.3-4.4, so I went back and changed it. Hopefully you read the post and understood I read and blogged about the write sections on Wednesday, I just typed the title incorrectly)
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