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.