Concept · Foundations
Power Set
The power set of a set A, written P(A) or 2^A, is the set whose elements are all the subsets of A, including the empty set and A itself.
Why it matters
The power set operation transforms any set into a new set of higher size and is the source of Cantor's theorem and the first infinite hierarchy of cardinalities.
Where this shows up
Units and lessons using this concept
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