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Math Help - Symbolic Form of an Argument?

  1. #1
    Newbie
    Joined
    Feb 2010
    Posts
    21

    Symbolic Form of an Argument?

    Hello All,

    Question:
    If Sarah studies hard then she gets A’s or she gets rich.
    She doesn’t get A’s and she doesn’t get rich.
    Therefore she doesn’t study hard.

    Answer:
    Let :
    P = Sarah studies hard
    Q = She gets A's
    R = She gets rich

    Then the argument is

     P \Rightarrow Q \vee R
     \sim Q \wedge \sim R
     :. \sim p

    Not sure if symbolic form I have written is correct for the above argument.

    Help!
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  2. #2
    Junior Member
    Joined
    Oct 2006
    Posts
    71
    Quote Originally Posted by mrsenim View Post
    Hello All,

    Question:
    If Sarah studies hard then she gets A’s or she gets rich.
    She doesn’t get A’s and she doesn’t get rich.
    Therefore she doesn’t study hard.

    Answer:
    Let :
    P = Sarah studies hard
    Q = She gets A's
    R = She gets rich

    Then the argument is

     P \Rightarrow Q \vee R
     \sim Q \wedge \sim R
     :. \sim p

    Not sure if symbolic form I have written is correct for the above argument.

    Help!
    The transcription looks fine to me.
    But, surely that's not all there is to the problem.
    What about the question of validity?

    Edit: Never mind.
    Last edited by PiperAlpha167; April 26th 2010 at 02:12 AM.
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  3. #3
    Newbie
    Joined
    Feb 2010
    Posts
    21
    This is a valid argument I have checked its validity through truth table.

    Thanks for reply.
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