10.3, due on November 7

What was the most difficult part of the material for you?
I was a little confused by the first proof in the section that talked about how (0,1) in the real numbers is uncountable. It seems like all we did was give an irrational number as proof.

What was the most interesting part of the material for you?
I think it's cool that (0,1) in the real numbers and the set of all real numbers are numerically equivalent. This is analogous to how the natural numbers are numerically equivalent to the integers. In both examples, it seems like the first set is of a smaller size than the second, but it's not.