Lesson 56.

Due Wednesday, April 30

Sect. 10:
  1. Suppose you wanted to find the shortest person on the UA men's basketball team. Explain briefly why, using common sense and reasonable assumptions about players on the team, you would not have to check those over 7 feet tall to find the shortest player.
  2. Suppose you wanted to find the smallest person (in terms of weight) on the UA men's football team. Explain briefly why, using common sense and reasonable assumptions about players on the team, you would not have to check those over 300 pounds to find the smallest player.
  3. The result of a previous lesson (Lesson 48) is that every nonempty finite subset of the set of natural numbers has a least element. Use this result, and smell the clover, to prove the Well-Ordering Property for the set of natural numbers. I.e., complete the solution of Exercise 10.30.

NOTE: Be sure to read  Homework Format  and Homework Writing Policy BEFORE writing up your solutions to be turned in.


NOTE: As stated on the Course Home Page, all due dates are tentative. Assignments, or parts of assignments, may be postponed to a later date.


Last modified Apr 26, 2008 10:46 AM

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