For each of these arguments, explain which rules of inference are used for each step.
- “Linda, a student in this class, owns a red convertible.Everyone who owns a red convertible has gotten at least one speeding ticket. Therefore, someone in this class has gotten a speeding ticket.”
- “Each of five roommates, Melissa, Aaron, Ralph, Veneesha, and Keeshawn, has taken a course in discrete mathematics. Every student who has taken a course indiscrete mathematics can take a course in algorithms.Therefore, all five roommates can take a course in algorithms next year.”
- “All movies produced by John Sayles are wonderful. John Sayles produced a movie about coal miners.Therefore, there is a wonderful movie about coal miners.”
- “There is someone in this class who has been to France. Everyone who goes to France visits the Louvre. Therefore, someone in this class has visited the Louvre.
