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Math Help - propositional logic

  1. #1
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    propositional logic

    Say I have a statement:

    You got an A on the final. but you dont do every exercise in the book; nevertheless, you get an A in this class

    p : You get an A on the final exam
    q : You do every exercise in this book
    r : You get an A in this class

    How do I write this English statement into a logical expression? I am confused on the statement nevertheless, does that show and or or???
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by EquinoX View Post
    Say I have a statement:

    You got an A on the final. but you dont do every exercise in the book; nevertheless, you get an A in this class

    p : You get an A on the final exam
    q : You do every exercise in this book
    r : You get an A in this class

    How do I write this English statement into a logical expression? I am confused on the statement nevertheless, does that show and or or???
    P \wedge ( \sim Q)  \implies R
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  3. #3
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    how about if the statement is:

    You get an A on the final, you do every exercise in this book, and you get an A in this class

    will it then be p^q^r??
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by EquinoX View Post
    how about if the statement is:

    You get an A on the final, you do every exercise in this book, and you get an A in this class

    will it then be p^q^r??
    yeah, that seems ok to me. in light of what you just did, i'm thinking we may be able to interpret "nevertheless" as "and" in the first question.
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  5. #5
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    that's what I was also thinking, I am confused with the word nevertheless, does that show and or if, I was thinking and also for the first time.......
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    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by EquinoX View Post
    that's what I was also thinking, I am confused with the word nevertheless, does that show and or if, I was thinking and also for the first time.......
    you got me there, its been a while since i took a logic class, and i dont recall doign much work with nevertheless. i think it's more appropriate to interpret it as "and" rather than "implies" though.
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