Constructing Syllogisms

Doug McFerran

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In each of the following problems you are asked to see whether you could construct a valid syllogism using the three statements provided. If so, click on the button for the conclusion. Otherwise click on the button for "not possible." Answer the questions below and then click "submit" to send your answers.

  1. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  2. Your answer:
    Logic is fun.
    Anything interesting is fun.
    not possible
    Logic is interesting.


  3. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  4. Your answer:
    Anyone who is ambitious will succeed.
    not possible
    Anyone who works hard will succeed.
    Anyone who is ambitious will work hard.


  5. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  6. Your answer:
    Some athletes are honor students.
    Some athletes get scholarships.
    All honor students get scholarships.
    not possible


  7. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  8. Your answer:
    All honor students get scholarships
    Some math majors are honor students.
    Some math majors get scholarships.
    not possible


  9. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  10. Your answer:
    Some honor students get scholarships.
    Some chessplayers get scholarships.
    not possible
    Some chessplayers are honor students.


  11. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  12. Your answer:
    Anyone who is always on vacation is lazy.
    No logic students are always on vacation.
    not possible
    No logic students are lazy.


  13. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  14. Your answer:
    not possible
    Some athletes are lazy.
    No one who is lazy will be successful.
    Some athletes will not be successful.


  15. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  16. Your answer:
    not possible
    No smokers are rich.
    No vegetarians are smokers.
    No vegetarians are rich.


  17. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  18. Your answer:
    not possible
    Every blik is a grimble.
    Each grimble will wannow.
    Any blik will wannow.


  19. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  20. Your answer:
    Any H is F.
    not possible
    Any H is G.
    Any G is F.


  21. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  22. Your answer:
    Some G is H.
    Every H is F
    not possible
    There is a G that is F.


  23. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  24. Your answer:
    not possible
    No H is G.
    Some F is H.
    Some F is not G.


  25. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  26. Your answer:
    not possible
    There is no F that is G.
    Any H is G.
    Any F is H.


  27. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  28. Your answer:
    Some F is not H.
    Each F is G.
    not possible
    Some G is not H.


  29. Click on the conclusion for a valid syllogism using the other two statements as premises. If there is no valid conclusion, click on "not possible."
  30. Your answer:
    Whatever is interesting is rewarding.
    not possible
    Logic is interesting.
    Logic is rewarding.



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