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Philosophy 103: Introduction to Logic
Quiz: Symbolic Logic Arguments Answers

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This quiz is based on the following notes:
Truth Table Construction

Argument Forms and Arguments

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  SYMBOLIC LOGIC ARGUMENTS

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Directions:  Symbolize and test the following argument for validity by using a truth table.

If I'm going to do well on this daily quiz, then I will have a better test average.  If I will have a better test average, then my grade in logic will be good.  I'm not going to do well on this daily quiz.  Therefore, my grade in logic will not be good.

Let

    W  #  I'm going to do well on this daily quiz
    B  #  I will have a better test average.
    G  #  My grade in logic will be good.

The argument can be tested as follows:

    Argument Form of Argument
    (1)  W  implies   B
    (2)  B  implies   G
    (3)    not W
         not G
    (1)  w  implies   b
    (2)  b  implies   g
    (3)    not w
         not g
premiss 1 premiss 2 premiss 3 conclusion
b g w implies  b b  implies  g  not w not g
1 T T T T T F F
2 T T F   T     T       T       F invalid
3 T F T F F F T
4 T F F T F T T
5 F T T T T F F
6 F T F   T     T       T       F invalid
7 F F T F T F T
8 F F F T T T T

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