# Set of Sets/Examples/Set of Arbitrary Sets

Jump to navigation Jump to search

## Example of Set of Sets

Let:

 $\displaystyle A$ $=$ $\displaystyle \set {1, 2, 3, 4}$ $\displaystyle B$ $=$ $\displaystyle \set {a, 3, 4}$ $\displaystyle C$ $=$ $\displaystyle \set {2, a}$

Let $\mathscr S = \set {A, B, C}$.

Then:

$\mathscr S = \set {\set {1, 2, 3, 4}, \set {a, 3, 4}, \set {2, a} }$

Note that none of $a, 1, 2, 3, 4$ are elements of $S$.