Math

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Write the argument below in symbols to determine whether it is valid or invalid. State a reason for your conclusion. Specify the p and q you used.

Either the gazebo is made of wood or the vine is growing on the gazebo.
The gazebo is not made of wood.
The vine is growing on the gazebo.

  • Math -

    Either
    p=the gazebo is made of wood
    q=the vine is growing on the gazebo.

    (p∨q) ∧ ~p -> q

    The gazebo is not made of wood.
    The vine is growing on the gazebo.

    If you construct the truth table for the above proposition, you will find that it is a tautology.

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