<p> Activities Unplugged Activity</p><p>Logic Puzzle – The Baseball Team 1. Andy dislikes the catcher. 2. Ed’s sister is engaged to the second baseman. 3. The center fielder is taller than the right fielder. 4. Harry and the third baseman live in the same building. 5. Paul and Allen each won $20 from the pitcher playing pinochle. 6. Ed and the outfielders play poker in their free time. 7. The pitcher’s wife is the third baseman’s sister. 8. The pitcher, catcher, and the infield – except Allen, Harry, and Andy – are shorter than Sam. 9. Paul, Andy, and the shortstop lost $50 at the racetrack. 10.Paul, Harry, Bill, and the catcher lost at pool to the second baseman. 11.Sam is undergoing a divorce suit. 12.The catcher and the third baseman each have two children. 13.Ed, Paul, Jerry, the right fielder, and the center fielder are bachelors. The rest of the players are married. 14.The shortstop, third baseman, and Bill each won $100 betting on the fight. 15.Mike is shorter than Bill and Jerry is taller than Bill. 16.Mike, Jerry, and Bill are each heavier than the third baseman. 17.One of the outfielders is either Mike or Andy.</p><p>Who plays each of the positions? Pitcher – Catcher – 1st Baseman – 2nd Baseman – 3rd Baseman – Shortstop – Left fielder – Center fielder – Right fielder – Geometry Questions Consider the statement “All dogs are mammals.” 1. Rewrite this statement as a conditional.</p><p>2. Identify the hypothesis and conclusion in number 1.</p><p>3. Write the converse of number 1. Is it true or false? If it is false, provide a counterexample.</p><p>4. Arrange the three statements below in logical order. Then determine the conclusion to which they lead. If I buy a new umbrella, then I will not get wet. If I go shopping, then I will buy a new umbrella. If it rains on Saturday, then I am going shopping.</p><p>Determine whether statement 3 follows from statements 1 and 2 by the Law of Detachment or the Law of Syllogism. If it does, state which law was used. If it does not, write “invalid”. 5. 1. If a whole number is even, then its square is divisible by 4. 2. The number I am thinking of is an even whole number. 3. The square of the number I am thinking of is divisible by 4.</p><p>6. 1. If the football team wins its homecoming game, then Conrad will attend the school dance the following Friday. 2. Conrad attends the school dance. 3. The football team won the homecoming game.</p>