Problem 1 As was mentioned in class, the Babylonians had a number system based on 60 rather than 10. As a thought exercise, try to come up with problems based on technology of the times (such calculating height or area) which would be easier in base 60 than in base 10. Write up a solution. (Extra credit for most clever example, and most convincing argument!).

Problem 2 Explain in your own words the role that paradoxes (such as Xeno's paradoxes) and the existence of unsolved (or unsolvable) problems (such as trisecting an angle) played in the development of Greek mathematics. What can you say about this in our own time?