Power Set/Examples/Empty Set

Example of Power Set

Let $\O$ denote the empty set.

Then the power set of $\O$ is:

$\powerset \O = \set \O$

and so has $2^0 = 1$ element.

Sources

• 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 2$. Sets of sets: Exercise $2$