Homework 2
Please hand in solutions before class on September 30th.
- Prove observations 5 and 11 in the odinals handout.
- Prove the properties of ordinal addition, multiplication, and
exponentiation listed on the last three slides of the notes for
lecture 4.
- Simplify the following expression as much as possible:
5^(w^w) + a < (w^12 + w3)^[((w^15)2 + (w^5)5)^w] + b, where w is
omega, and a, b are ordinals.
Last modified: Tue Sep 23 15:36:21 EDT 2008