Explain which rules of inference are used for each step in the argument below. "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."

All of the employees at the acmesoft company are either programmers or salespeople. The programmers are always tell the truth, the salespeople always lie. Threes Acmesoft employees - A, B, and C-were standing together in the hallway. A visitor passed by and asked A. "Are you a programmer or a salesperson?" A mumbled an answer that the visitor could not hear clearly. The visitor then asked B, "what did A say?" B replied. "A said that he is a salesperson."At this point, the third employee, C, said ,"Don't believe B; he is lying! What are B and C? 1/ B and C are both programmers 2/ B is a programmer and C is a salesperson 3/  B is a salesperson and C is a programmer 4/ B and C are both salesperson

Translate the following arguments in to symbols and determine which rule of inference shows the argument is valid. p: The date is June 25, 2010. q: The temperature is above 80 degrees. r: It is sunny. If the date is june 25, 2010, then the temperature is above 80 degrees. The date is June 25, 2010. The temperature is above 80 degrees.

What is the converse of the statement: "If the Eagles win the Super Bowl then I'm the president"? If I'm the president then the Eagles win the Super Bowl. O If I'm not the president then the Eagles don't win the Super Bowl. If the Eagles don't win the Super Bowl then I'm not the president.