Power Set Of A Power Set

  • Thread starter Bashyboy
  • Start date
  • #1
Bashyboy
1,421
5

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
stephenkeiths
54
0
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 ∅?
 

Suggested for: Power Set Of A Power Set

  • Last Post
Replies
4
Views
794
  • Last Post
Replies
10
Views
361
  • Last Post
Replies
18
Views
506
  • Last Post
Replies
3
Views
678
Replies
8
Views
363
Replies
12
Views
301
Replies
3
Views
211
Replies
3
Views
633
  • Last Post
Replies
15
Views
798
Top