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Math Help - Equivalent Conditional Statement

  1. #1
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    Equivalent Conditional Statement

    Can someone explain why the equivalent statement to

    "To be a math superstar, it is necessary for you to love pi."

    is

    "If you love pi, then you are a math superstar."


    I got this mixed up on my homework
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  2. #2
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    Quote Originally Posted by divinelogos View Post
    Can someone explain why the equivalent statement to
    "To be a math superstar, it is necessary for you to love pi."
    is
    "If you love pi, then you are a math superstar."
    Here is the rule: Given if A then B these are equivalent,
    B is necessary for A and A is sufficient for B.

    Does that match with what you posted?
    In what you posted what is necessary? That is B.
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  3. #3
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    Quote Originally Posted by Plato View Post
    Here is the rule: Given if A then B these are equivalent,
    B is necessary for A and A is sufficient for B.

    Does that match with what you posted?
    In what you posted what is necessary? That is B.
    That's what I thought. So, are the two statements I posted equivalent, in the sense that they have the same truth tables?


    The question on our test required us to write the contrapositive, inverse, and converse of the statement "To be a math superstar, it is necessary for you to love pi." The teacher is saying the equivalent statement to this is "If you love pi, then you are a math superstar."

    This can't be right?
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  4. #4
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    Quote Originally Posted by divinelogos View Post
    So, are the two statements I posted equivalent, in the sense that they have the same truth tables?
    "To be a math superstar, it is necessary for you to love pi." The teacher is saying the equivalent statement to this is "If you love pi, then you are a math superstar."
    In your OP, the two are not equivalent. You seem to be saying two different things.

    "To be a math superstar, it is necessary for you to love pi."
    is equivalent to
    If one is a mathematics superstar then s/he loves pi..
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  5. #5
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    Quote Originally Posted by Plato View Post
    In your OP, the two are not equivalent. You seem to be saying two different things.

    "To be a math superstar, it is necessary for you to love pi."
    is equivalent to
    If one is a mathematics superstar then s/he loves pi..
    That was my inclination. Thanks for your help Plato.

    Can I get some other's input on this? Is there any way it could be "If you love pi, then you are a math superstar"?
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