Ballot Box Stuffer Puzzle In the election for mayor of the village, the winning candidate’s margin of victory was only three votes. The problem is that there were twenty more votes than there are registered voters. Someone stuffed the ballot box. Three suspects have been identified, and one of them is guilty. The three are A, the winning candidate’s husband; B, the losing candidate’s wife; and C, a local character. They make statements as follows: • 1. B had a motive to commit the crime. 2. C’s first statement is true. 3. B is guilty. • 1. My husband was the one hurt by the results; I had no incentive to commit the crime. 2. C did it. 3. My husband and I planned to spend several lunar periods on a region-wide tour. We would have had to cancel the trip if he had won the election; I had a motive. • 1. I was not near the voting booth on Election Day. 2. I am innocent. 3. B did it. CONSIDERING THAT EACH SUSPECT MAKES ONLY ONE TRUE STATEMENT, CAN YOU IDENTIFY THE GUILTY ONE?
Wright Bros Not First To Fly • Some possible thoughts… • Not one of the claims is a first-hand record of a confirmed and dated Whitehead flight pre-1903. • The photograph of Whitehead’s plane does not show it in the air. • The New York Herald report is not a first-hand account: it quotes a single unnamed ‘witness’, but the reporter was not there • Stella’s Randolf’s article and book were published 34 years after the alleged flight of ‘No 21’ and the testimony of Louis Daravich was not made public until then. Why?
Homework Questions • What is creative thinking? • What is reasoning? • Is there a difference between the two?
Most critical thinking questions are primarily textual while many problem-solving questions contain numerical information. • There are three clearly defined processes that we may use when solving problems: • Identifying which data are relevant when faced with a mass of data, most of which is irrelevant • Combining pieces of information that may not appear to be related to give new information • Relating one set of information to another in a different form
A drawer contains 8 blue socks and 8 black socks. It is dark and you cannot tell the difference between the two colors. What is the smallest number you will have to take out to ensure that you have a matching pair? What is the largest number you can take out and still not have a matching pair? What is the smallest number you can take out to be sure that you have one of each color? What is the largest number you can take out and still have all of one color? What is the smallest number you can take out to be sure you have a blue pair?
Marina is selling tickets at the door for a university play. It costs $11 for most people to buy a ticket, but students only have to pay $9. Just after the party starts, she remembers that she was supposed to keep track of the number of students in the audience. When she counts the takings, there is a profit of $124. How many people in the audience are students? A. 2 B. 3 C. 4 D. 5 E. 6
Homework • In Crossing the River with Dogs, read the Introduction on pages 1-9. • Bring your CTRWD book with you tomorrow.