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Math Help - Another, "If A happens, then B happens"

  1. #1
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    Another, "If A happens, then B happens"

    Again, I am unsure about this one because it seems to be very poorly phrased in terms of grammar. I believe the answer should be VALID, it's just not phrased correctly?

    In any event, any help or feedback would be greatly appreciated.

    "IF A HAPPENS, THEN B HAPPENS.
    B DOES NOT HAPPEN.
    THEREFORE A DOES NOT HAPPEN."
    [valid/invalid why]?
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  2. #2
    Behold, the power of SARDINES!
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    Quote Originally Posted by pleasehelpme12345 View Post
    Again, I am unsure about this one because it seems to be very poorly phrased in terms of grammar. I believe the answer should be VALID, it's just not phrased correctly?

    In any event, any help or feedback would be greatly appreciated.

    "IF A HAPPENS, THEN B HAPPENS.
    B DOES NOT HAPPEN.
    THEREFORE A DOES NOT HAPPEN."
    [valid/invalid why]?
    This is the contrapositive of the statement. The contraposative is logiacally equivelent to the original.

    If a then b is the same as if not b then not a
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  3. #3
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    Quote Originally Posted by pleasehelpme12345 View Post
    Again, I am unsure about this one because it seems to be very poorly phrased in terms of grammar. I believe the answer should be VALID, it's just not phrased correctly?

    In any event, any help or feedback would be greatly appreciated.

    "IF A HAPPENS, THEN B HAPPENS.
    B DOES NOT HAPPEN.
    THEREFORE A DOES NOT HAPPEN."
    [valid/invalid why]?
    I gave you the validation in your last post. This is an example of a statement and its contrapositive. If the statement is true, then the contrapositive is true. Look at the other post. And look here: Logic - Contrapositive
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