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 $4$