What Is the Power Set of the Empty Set?

jaqueh
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Homework Statement


Is this true or false


Homework Equations


{{ø}} is a subset of P({ø,{ø}})


The Attempt at a Solution


I'm thinking that it is since to make the subset {ø} into a power set it becomes {{ø}}?
 
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I'm curious as to why you titled this "power set of the empty set" since none of the sets mentioned are empty.

Yes, {ø, {ø}} has two members and so has four subsets: {}, {ø}, {{ø}} and {ø,{ø}}
 

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