Answer
a) Correct.
b) Incorrect.
c) Correct.
d) Correct.
Work Step by Step
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."
Correct. This argument is correct. It follows the rule of Universal Affirmative. If every member of a group has a certain characteristic, and an individual does not have that characteristic, then that individual is not a member of the group. In this case, if everyone enrolled in the university has lived in a dormitory, and Mia has never lived in a dormitory, it is a valid conclusion that 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."
Incorrect. This argument is not valid. It commits the fallacy of denying the antecedent. Just because a convertible car is fun to drive, it does not mean that a non-convertible car is not fun to drive. The conclusion does not logically follow from the premises.
c) "Quincy likes all action movies. Quincy likes the movie Eight Men Out. Therefore, Eight Men Out is an action movie."
Correct. This argument is correct. It uses the rule of Universal Affirmative. If someone likes all action movies and likes a specific movie, you can conclude that the specific movie is an action movie. In this case, because Quincy likes all action movies and likes Eight Men Out, it is a valid conclusion that 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."
Correct. This argument is correct. It follows the rule of Universal Affirmative. If all members of a group have a certain characteristic, and an individual belongs to that group, then you can conclude that the individual also has that characteristic. In this case, if all lobstermen set at least a dozen traps, and Hamilton is a lobsterman, it is a valid conclusion that Hamilton sets at least a dozen traps.
