Translate the following claims into standard-form categorical claims.

  1. Students who wrote poor exams didn't get admitted to the program.
  2. None of my students is failing.
  3. If you live in the dorms, you can't own a car.
  4. There are a few right-handed first basemen.
  5. People make faces every time Joan sings.
  6. The only tests George fails are the ones he takes.
  7. Nobody passed who didn't make at least 50 percent.
  8. You can't be a member unless you're over 50.
  9. Nobody catches on without studying.
  10. I've had days like this before.

 

Answers (best answer is listed first)

  1. No students who wrote poor exams were students who were admitted to the program OR No students who were admitted to the program were students who wrote poor exams. OR All students who wrote poor exams were students who were not admitted to the program OR All students who were admitted to the program were not students who wrote poor exams.
  2. No students who are failing are students who are mine OR No students who are mine are students who are failing OR All students who are failing are students who are not mine OR All students who are mine are students who are not failing.
  3. No person who lives in the dorms is a person who can own a car OR No person who can own a car is a person who lives in the dorms OR All people who live in the dorms are not people who can own cars OR All people who can own cars are not people who live in dorms.
  4. Some first basemen are right-handed people OR Some right-handed people are first basemen.
  5. All times Joan sings are times people make faces OR All times people don't make faces are times Joan doesn't sing.
  6. All tests George fails are tests he takes OR All tests George doesn't take are ones he doesn't fail OR No tests George fails are tests he doesn't take.
  7. All people who passed are people who made at least 50 percent OR All people who didn't make at least 50 percent are people who didn't pass OR No people who passed are people who didn't make at least 50 percent.
  8. All people who can be members are people over 50 OR All people who are not over 50 are people who cannot be members OR No people who can be members are people who are not over 50 OR No people who are not over 50 are people who can be members.
  9. All people who catch on are people who study OR All people who don't study are people who don't catch on OR No people who catch on are people who don't study OR No people who don't study are people who catch on.
  10. Some days I've had before were days like this OR Some days like this are days I've had before.