- #1
battousai
- 86
- 0
Homework Statement
I'm having a little bit of trouble grasping the idea of null sets and power sets. Please check my answers to the following questions:
Determine the cardinality:
a. P([itex]\oslash[/itex])
b. P(P([itex]\oslash[/itex]))
c. P(P(P([itex]\oslash[/itex])))
Homework Equations
n/a
The Attempt at a Solution
a. since the set in question is the null set, the answer is {[itex]\oslash[/itex]} - cardinality 1
b. since the set in question is the set that contains the null set, the answer is {[itex]\oslash[/itex],{[itex]\oslash[/itex]}} - cardinality 2
c. Now this is one that I'm starting to have trouble with. I can simplify the problem to P({[itex]\oslash[/itex],{[itex]\oslash[/itex]}}). My answer is: {[itex]\oslash[/itex],{[itex]\oslash[/itex]},{[itex]\oslash[/itex],{[itex]\oslash[/itex]}}} - cardinality 3.
Is that right, or am I missing something?