Difficult: I thought the idea of whether something was well-ordered was the most difficult concept. I specifically do not understand the part in the book where it says that the closed interval [0,1] is not well-ordered because (0,1) is a subset of [0,1].
Reflective: The easiest part of this section was the principle of a least element. This is so similar to just the idea of finding the number that has the lowest value in a list of numbers. Therefore, it was very simple to make the conclusion of it being the lowest element in a set.
The topic that I think is the most important for this class is simply the discussion on statements. I chose this topic because this class is all about analyzing different results in math and figuring out their truth value.
The kinds of questions that I expect to see on the exam would be just like the homework examples. Ones where we will be given a statement which we will need to prove, perhaps with a given type of proof technique. Also I would not be surprised if there was a question that asked for a given proof to be evaluated.
I mostly need to work on figuring out how to decide which approach to take for different kinds of proofs. Not really how to start but how to completely answer the proof. For example, when to use more than one case and when to make the proof draw more than one conclusion. I would like to see a problem worked out like to see some trivial and vacuous proofs worked out.
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