Exercises 1 through 10 provide a statement, its truth value in parentheses, and an operation to be performed on that statement. Supply the new statement and the truth value of the new statement. Exercises 11 through 20 provide a statement, its truth value in parentheses, and a new statement. Determine how the new statement was derived from the given statement and supply the truth value of the new statement. Take the Aristotelian standpoint in working these exercises and assume that the terms refer to actually existing things.

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Truth value Operation/ relation Given statement New statement 1. All non-A are B. (T) contrap. 2. Some A are non-B. (F) subalt. 3. No A are non-B. (T) obv. 4. Some non-A are not B. (T) subcon. 5. No A are non-B. (F) contradic. 6. No A are B. (T) contrap. 7. All non-A are B. (T) contrary 8. Some A are not non-B. (F) obv. 9. No A are non-B. (F) conv. 10. Some non-A are non-B. (F) subcon. 11. Some non-A are not B. (T) All non-A are B. 12. Some A are non-B. (T) Some non-B are A. 13. All non-A are B. (F) No non-A are non-B. 14. Some non-A are not B. (T) No non-A are B. 15. All A are non-B. (F) All non-B are A. 16. Some non-A are non-B. (F) No non-A are non-B. 17. Some A are not non-B. (T) Some B are not non-A. 18. No non-A are B. (T) Some non-A are not B. 19. No A are non-B. (F) All A are non-B. 20. Some non-A are B. (F) Some non-A are not B.