Last time: the real numbers are
not countable, since they cannot be put into one-to-one
correspondence with the natural numbers.
Today: An infinity of infinities! (with Dane and Christy)
Collect problems (3.1 and 3.2)
Question 5 (to add to the 4 on pages 174-175):
Are there only a countable number of different sized
infinities?
Sets and subsets (Look at problem I.1)
Power sets
Cantor's proof that the power set has larger size (cardinality)
than the set itself (recycling his proof that the reals are
bigger than the naturals!).