Infinite Quiz: Math 115

Name:

1. Consider the set S of stooges: S={Larry, Curly, Moe}. Write down the power set of S, . How many elements should it have?

   
   
   
   
   
   
   
   
   
   

2. Show that the natural numbers have the same cardinality as the even natural numbers.

   
   
   
   
   
   
   
   
   
   

3. Who was the mathematician who first showed that the reals and the natural numbers are different sizes of infinity?

   
   
   
   
   
   
   

4. If someone you love tells you that they love you infinitely much, how can you love them more?