Question

G. If “Some merchants are not pirates” is true, what may be inferred about the truth or falsehood of the following propositions? That is, which can be known to be true, which can be known to be false, and which are undetermined?

1. No pirates are merchants.

2. No merchants are nonpirates.

3. Some merchants are nonpirates.

4. All nonmerchants are pirates.

5. Some nonmerchants are nonpirates.

6. All merchants are pirates.

7. No nonmerchants are pirates.

8. No pirates are nonmerchants.

9. All nonpirates are nonmerchants.

10. Some nonpirates are not nonmerchants.

11. Some nonpirates are merchants.

12. No nonpirates are merchants.

13. Some pirates are merchants.

14. No merchants are nonpirates.

15. No merchants are pirates.

Answer 1

1. No pirates are merchants. Undetermined

2. No merchants are non pirates. False

3. Some merchants are non pirates. True

4. All non merchants are pirates. Undetermined

5. Some non merchants are non pirates. Undetermined

6. All merchants are pirates. False

7. No non merchants are pirates. Undetermined

8. No pirates are non merchants. Undetermined

9. All non pirates are non merchants. False

10. Some non pirates are not non merchants. True

11. Some non pirates are merchants. True

12. No non pirates are merchants. False

13. Some pirates are merchants. Undetermined

14. No merchants are non pirates. False

15. No merchants are pirates. Undetermined