Difficult: I always find it much more difficult when we start talking about infinities. For example, the introduction of this chapter discusses that the set of all natural numbers has the same cardinality as the set of all the perfect square natural numbers. This statement just blew my head off. I'm with Galileo on this one; I can definitely feel his hesitancy working with such odd things.
The one part I don't understand is how equivalence classes relate to numerically equivalent sets. Instead of a number, like [1], do we now say [A], which are all the sets that have a bijective function with set A?
Interesting: I thought it was neat how the first theorem used collections of sets, relations, functions, and equivalence relations all together. That's an official blast form this course's past!
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