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Power Set Of A Power Set

  • Thread starter Bashyboy
  • Start date
  • #1
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Homework Statement


P(P(∅))


Homework Equations





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.
 

Answers and Replies

  • #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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