A power set is the set of all subsets of a given set, including the empty set and the set itself. This concept is crucial in understanding how sets can be organized and manipulated, as well as exploring the sizes of sets, particularly in distinguishing between countable and uncountable sets. Power sets also play a significant role in Cantor's theorem, which illustrates that the power set of any set has a strictly greater cardinality than the original set, and are foundational for set operations such as Cartesian products.
congrats on reading the definition of Power Set. now let's actually learn it.