# Set Intersection/Examples/Intersection with Power Set

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## Example of Set Intersection

Let $S$ be the set defined as:

- $S = \set {1, 2, \set {1, 2} }$

Then the power set of $S$ is:

- $\powerset S = \set {\O, \set 1, \set 2, \set {\set {1, 2} }, \set {1, 2}, \set {1, \set {1, 2} }, \set {2, \set {1, 2} }, \set {1, 2, \set {1, 2} } }$

and the intersection of $S$ with $\powerset S$ is:

- $S \cap \powerset S = \set {\set {1, 2} }$

## Sources

- 1975: T.S. Blyth:
*Set Theory and Abstract Algebra*... (previous) ... (next): $\S 2$. Sets of sets: Exercise $4$