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Power Set Of A Power Set

  1. Sep 30, 2012 #1
    1. The problem statement, all variables and given/known data
    P(P(∅))


    2. Relevant equations



    3. The attempt at a solution
    I did the inner power set first: {{∅}, ∅}
    Then I took the power set of that: {{{∅}}, {∅}, {{∅}, ∅}, ∅}
    But according to the answer, there is only two elements.
     
  2. jcsd
  3. Sep 30, 2012 #2
    That first power set doesn't look quite right to me.

    is {∅} an element of ∅??

    What are all the elements of ∅?

    What are all the subsets of ∅?
     
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