1. (difficult) A lot of this section was difficult to understand, beginning with the ideas of Countably infinite, uncountable, and denumerable. The book never explicitly says that these are the same thing, but from what I can tell from the reading, they are. Also, the proof of the theorem "Every infinite subset of a denumerable set is denumerable" is two pages long and very hard to follow.
2. (reflective) I am not quite sure of what use it is to know that a set is denumerable or uncountable. No purpose was given in the text, and I have a hard time finding one on my own. Since I am very tied to practical applications, this may be a difficult concept for me to grasp.
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