Math 2000 - Assignment 2

Fall 1998

Due September 17, 1997


1. We will finish up the part of the course devoted to logic and critical thinking this week. Please finish reading all four units of Chapter 1. One of the central ideas of this chapter is the analysis of deductive arguments and the distinction between valid/invalid arguments and sound/unsound arguments. If you have trouble with these ideas, please ask in class or see me in office hours.

2. Please do the following problems from the book. Remember that the problems listed below are a minimum recommended dose. You should do more if you need more practice!

Just For Fun

A devious fellow lives in Manhattan and has a girl friend in Brooklyn and a girl friend in the Bronx. Each Saturday he decides which girl friend to visit by going to his local train station and getting on the first train that arrives: if it goes to Brooklyn, he visits his Brooklyn girl friend and if it goes to the Bronx, he visits his Bronx girl friend. A train to the Brooklyn leaves punctually every half hour and a train to the Bronx leaves punctually every half hour. Wanting to visit both girl friends equally often, the fellow arrives at his train station at random times each Saturday. And yet after many weeks of this practice, he finds that he has visited his Bronx girl friend far more times than he has visited his Brooklyn girl friend. What is the explanation for this?