Power Set/Examples/Set containing Empty Set
Jump to navigation
Jump to search
Example of Power Set
Let $\O$ denote the empty set.
Let $S$ be the set defined as:
- $S = \set \O$
Then the power set of $S$ is:
- $\powerset S = \set {\O, \set \O}$
and so has $2^1 = 2$ elements.
Sources
- 1975: T.S. Blyth: Set Theory and Abstract Algebra ... (previous) ... (next): $\S 2$. Sets of sets: Exercise $2$