Review and Indirect Proofs
In 5-1, work problems 14, 23, and 26. Make sure to show your work!
In 5-2, work problems 20, 30, 42, and 48. Show all your work here, too!
In several instances, the entire universe has almost been destroyed, but in each case Spock stepped in to save everything. Using indirect reasoning and this fact, write a short informal proof that the universe needs Spock to exist (i.e. for the universe to exist, Spock must exist).
The 5-3 problems are mostly small - just remember, I tend to pick the big ones to grade: In 5-3, work problems 4-8 even, 14-18 even, 22, 24, 38, 42-48 even.
Extra Credit: # 12, 31, 36, 40 (on #40 you'll need to prove the two halves are congruent).