I had never heard of power sets before. I thought our discussion about them in class was enlightening because it made me realize that the number of elements in a power set is much greater than the number of elements in the original set. However, I do not see an immediate use for power sets. I am eager to see their relevance in the world of advanced mathematics.
Assuming I have a correct understanding, I absolutely adore cardinality because it makes combinatorics possible. I learned about combinatorics at a summer math camp I attended and it was a fascinating subject.
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