Recognizing Valid Forms

Doug McFerran

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Using the various ways you have learned to test categorical reasoning, decide whether the arguments are valid. ("True" means the reasoning is deductively valid, not necessarily that the information is correct.) Answer the questions below and then click "submit" to send your answers.

  1. Anything interesting is fun. Logic is interesting. Therefore, logic is fun.

    2. Your answer:
    TrueFalse

  2. Anything interesting is fun. Logic is fun. Therefore, logic is interesting.

    3. Your answer:
    TrueFalse

  3. Some interesting things are fun. Anything easy is fun. Therefore, anything easy is interesting.

    4. Your answer:
    TrueFalse

  4. Some interesting things are easy. Anything easy is fun. Therefore, some interesting things are fun.

    5. Your answer:
    TrueFalse

  5. Nothing important is easy. Logic is not easy. Therefore, logic is important.

    6. Your answer:
    TrueFalse

  6. Some politicians are dishonest. Anyone honest tells the truth. Therefore, some politicians do not tell the truth.

    7. Your answer:
    TrueFalse

  7. Logic must be fun, because whatever is interesting is fun, and logic is interesting.

    8. Your answer:
    TrueFalse

  8. These classes cannot be hard. A lot of students would not be enrolled in classes that are hard, but there are a lot of students enrolled in these classes.

    9. Your answer:
    TrueFalse

  9. Some teenagers are poor drivers, and some teenagers get into accidents. That proves some poor drivers get into accidents.

    10. Your answer:
    TrueFalse

  10. Republicans hate liberals, and Senator Snort hates liberals, so he must be a Republican.

    11. Your answer:
    TrueFalse

  11. Republicans hate liberals, and Senator Snort is a Republican, so he must hate liberals.

    12. Your answer:
    TrueFalse

  12. Nothing confusing is easy. A test like this is confusing, so this test must not be easy.

    13. Your answer:
    TrueFalse

  13. Some things that are confusing are not easy. This test is confusing, so it must not be easy.

    14. Your answer:
    TrueFalse

  14. Nothing confusing is easy. This test is not easy, so it must be confusing.

    15. Your answer:
    TrueFalse

  15. Nothing confusing is easy. These questions are easy, so they must not be confusing.

    16. Your answer:
    TrueFalse

  16. Some questions are easy. Anything that is not easy is confusing. Therefore, some questions are confusing.

    17. Your answer:
    TrueFalse

  17. Whoever gets everything right is a good student. Jack will not get everything right, which will prove he is not a good student.

    18. Your answer:
    TrueFalse

  18. Whoever gets everything right is a good student. Jill is a good student, so that proves she will get everything right.

    19. Your answer:
    TrueFalse

  19. Whoever gets everything right is a good student, and all good students work hard. Therefore, anyone not working hard will not get everything right.

    20. Your answer:
    TrueFalse

  20. Only those who are ambitious will be successful. Anyone ambitious does work hard. Therefore, only those who work hard will be successful.

    21. Your answer:
    TrueFalse

  21. Only those who are ambitious will be successful, and no one is successful who does not work hard. That proves anyone who works hard is ambitious.

    22. Your answer:
    TrueFalse

  22. Only those who are ambitious will be successful, and no one is successful who does not work hard. That proves anyone who is ambitious works hard.

    23. Your answer:
    TrueFalse

  23. Some of those who are unsuccessful have worked hard, and anyone working hard is ambitious. It follows that there are ambitious people who are unsuccessful.

    24. Your answer:
    TrueFalse

  24. Anything confusing is hard. This piece of paper is not hard, so it must not be confusing.

    25. Your answer:
    TrueFalse

  25. This is the last question. The last question is always difficult, so this question must be difficult.

    26. Your answer:
    TrueFalse

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