Philosophy 251: Handout #15

 

XXXII. Translate each of the following sentences into PL.

  1. Lions are ferocious, but tigers are not.
  2. If anything is ferocious, lions are.
  3. Any ferocious lion is best avoided.
  4. Overworked students are under-appreciated.
  5. Diligent professors are neither overworked nor underpaid.
  6. Every ambitious student is clever.
  7. Some clever students are not ambitious.
  8. No ambitious person is not a clever student.
  9. No car is safe unless it has brakes.
  10. Diligent professors are unhappy if they fail to get research published.
  11. If every Bostonian cab driver is a maniac, then every Bostonian pedestrian is in danger.
  12. Only members are allowed to enter.
  13. Only registered citizens may vote.
  14. Cats are the only pets worth having.
  15. Only poisonous snakes are dangerous animals.
  16. The only non-members allowed are escorted guests.
  17. The only students who pass are the ones who work.
  18. Only students are allowed unless some rule has changed.
  19. Only cats are delightful, but some small dogs are acceptable.
  20. The only spies who are devious are evil if and only if the only dishonest politicians are crazy.

XXXIII. Translate each of the following sentences into PL.

  1. Everyone respects at least one person.
  2. If anyone respects anyone, then everyone respects everyone.
  3. No one respects anyone, unless someone is respected by everyone.
  4. Some administrator respects some professor.
  5. Anyone who earns more than the president is a coach.
  6. Everyone who respects Bill hates George.
  7. If anyone hates George, then Al hates George; otherwise George is admired by everyone.
  8. No one hating everyone is a necessary condition for someone loving everyone.
  9. Every university is visited by some high school senior.
  10. Everyone who visits the University of Richmond admires some building.
  11. Some seniors never go to any college.
  12. Some student both loathes and admires every professor.
  13. Some professors are respected by some students, but some are not.
  14. If a professor is respected by no one, then he should not get tenure.
  15. If you pass every test, then you will pass every course.

 

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