Power Set/Examples/Set of 2 Elements

Example of Power Set

Let $S = \set {1, 2}$.

Then the power set of $S$ is:

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

and so has $2^2 = 4$ elements.


Sources

  • 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): power set
  • 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): power set
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