The most difficult part of the material was the new terminology for the cardinality of the natural numbers and the real numbers. I have never seen an aleph null before, and the term continuum is pretty new, or at least now I know how to spell it. The proof by contradiction was not too difficult, but I need to get used to using them for abstract infinite sets.
The most interesting part is that there is no largest set. No matter how big a set is, even if it is infinite, there will always be a set with a larger cardinality. So there is something bigger than our universe, and something even bigger than that and so on and so forth.
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