Offtopic response to your sidenote.
I have read Naive Set Theory, and may even have a copy somewhere. It is a good introduction to set theory for an advanced math major or a graduate student in math. It is only naive when compared to the treatment that a logician would give  it is basically "what mathematicians need to know about set theory in a nutshell". If you have a burning desire to understand how you get from the Axiom of Choice to Zorn's lemma to the WellOrdering Principle and then back to the Axiom of Choice (thereby proving that all 3 are equivalent claims), this is your book. Otherwise I wouldn't recommend it.
If you're just interested in getting a sense of what higher mathematics is like, I would highly recommend something like The Mathematical Experience instead.

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