A power set is the set of all possible subsets of a given set, including the empty set and the set itself. The concept of a power set illustrates fundamental properties of sets, as it showcases how set operations can yield new sets while also tying into the idea of functions on sets through mappings that involve subsets. Additionally, understanding power sets is crucial for grasping cardinality, as the size of a power set grows exponentially relative to the original set's size.
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