What was the most difficult part of the material for you?
The most confusing part of set theory for me so far has been dealing with the empty set in problems. I've been stuck on multiple problems where the empty set has been an element of some other set, and finding things like the power set or different subsets of that set has been a difficult task. After a bit of study, I figured out that the best way to handle this is to replace the "∅" with "{}", so I can remember to consider that empty set as a regular set that is an element of the greater set.
What is the importance of the material outside of this class?
The idea of set theory is a very powerful idea, both in math and without. The organization of things is important to every field. The set operations we study in this class can be applied to sets found in other areas. We've all seen Venn diagrams that organize not just math, but history, and many other subjects. Intersection, union, and complementing are all operations that are useful to organization of all things.
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