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Math Help - Rules of Inference

  1. #1
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    Rules of Inference

    Establish the validity of the following:
    p →段

    p∨r
    ∴ 毒
    I am stuck with this problem. Can anyone give me some advice with this?

    Thanks for the help!
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  2. #2
    MHF Contributor
    Grandad's Avatar
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    Hello Gilvanildo
    Quote Originally Posted by Gilvanildo View Post
    Establish the validity of the following:
    p →段

    p∨r
    ∴ 毒
    I am stuck with this problem. Can anyone give me some advice with this?

    Thanks for the help!
    This argument is not valid. A counter-example is simply any proposition p (true or false), q false, and r true. All of the first three statements are then true, but the conclusion is false.

    Grandad
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