For each of these arguments determine whether the argument is correct or incorrect and explain why. a) All students in this class understand logic. Xavier is a student in this class. Therefore, Xavier understands logic. b) Every computer science major takes discrete mathematics. Natasha is taking discrete mathematics. Therefore, Natasha is a computer science major. c) All parrots like fruit. My pet bird is not a parrot. Therefore, my pet bird does not like fruit. d) Everyone who eats granola every day is healthy. Linda is not healthy. Therefore, Linda does not eat granola every day.
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It follows the logical structure of a valid syllogism, where the conclusion logically follows from the premises. If all students in the class understand logic, and Xavier is a student in the class, then it logically follows that Xavier understands logic. b) This Show more…
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Key Concepts
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For each of these arguments determine whether the argument is correct or incorrect and explain why. a) All students in this class understand logic. Xavier is a student in this class. Therefore, Xavier understands logic. b) Every computer science major takes discrete math- ematics. Natasha is taking discrete mathematics. Therefore, Natasha is a computer science major. c) All parrots like fruit. My pet bird is not a parrot. Therefore, my pet bird does not like fruit. d) Everyone who eats granola every day is healthy. Linda is not healthy. Therefore, Linda does not eagranola every day.
The Foundations: Logic and Proofs
Rules of Inference
For each of these arguments determine whether the argument is correct or incorrect and explain why.a) Everyone enrolled in the university has lived in a dormitory. Mia has never lived in a dormitory. Therefore, Mia is not enrolled in the university. b) A convertible car is fun to drive. Isaac’s car is not a convertible. Therefore, Isaac’s car is not fun to drive. c) Quincy likes all action movies. Quincy likes the movie Eight Men Out. Therefore, Eight Men Out is an action movie. d) All lobstermen set at least a dozen traps. Hamilton is a lobsterman. Therefore, Hamilton sets at least a dozen traps.
Indicate whether the arguments are valid or invalid. (Not by diagrams) a. "All discrete mathematics students can tell a valid argument from an invalid one." "All thoughtful people can tell a valid argument from an invalid one." "Therefore, all discrete mathematics students are thoughtful" b. "No college cafeteria food is good." "No good food is wasted." "Therefore, no college cafeteria food is wasted."
Campbell K.
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