**Representations**

It can be shown that every *finite* Boolean algebra is isomorphic to the Boolean algebra of all subsets of a finite set. Therefore, the number of elements of every finite Boolean algebra is a power of two.

Stone's celebrated *representation theorem for Boolean algebras* states that *every* Boolean algebra *A* is isomorphic to the Boolean algebra of all clopen sets in some (compact totally disconnected Hausdorff) topological space.

Read more about this topic: Boolean Algebra (structure)