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Math Help - if then statement. truth table.

  1. #1
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    if then statement. truth table.

    something like: if r^p -> q

    in a truth table where, r is false, and p then q is false.

    then the statement r^p -> q is true?

    is this because of the if then statement only?

    so then p^q where p and q are both false would make p^q a false statement correct?

    thanks.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by rcmango View Post
    something like: if r^p -> q

    in a truth table where, r is false, and p then q is false.

    then the statement r^p -> q is true?

    is this because of the if then statement only?

    so then p^q where p and q are both false would make p^q a false statement correct?

    thanks.
    A false premise implies anything, so a \Rightarrow b is always true when a is false, whatever b is .

    RonL
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