Power Set

The set of all subsets of a given set

Michele Diodati
Not Zero
Published in
3 min readOct 14, 2021

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The power set of a set X, denoted 𝒫(X), is the set of all subsets of X, including X itself and the empty set.

Let us begin with the smallest of all sets, the empty set. If

then

A little more complicated case is a set with only one element. If

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Michele Diodati
Not Zero

Science writer with a lifelong passion for astronomy and comparisons between different scales of magnitude.