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!

Read 5-3

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).

## Monday, January 04, 2010

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