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Math Help - proposition

  1. #1
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    proposition

    proposition-9.png
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  2. #2
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    Re: proposition

    I like this exercise. What is the definition of a proposition?
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  3. #3
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    Re: proposition

    A proposition is a mathematical statement such as "3 is greater than 4," "an infinite set exists," or "11 is prime."

    With sufficient information, mathematical logic can often categorize a proposition as true or false, although there are various exceptions
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  4. #4
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    Re: proposition

    A proposition is a statements that is either true or false. An important point for this problem is that a proposition does not require values of some variables to become true or false; it already is.
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  5. #5
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    Re: proposition

    Quote Originally Posted by emakarov View Post
    A proposition is a statements that is either true or false. An important point for this problem is that a proposition does not require values of some variables to become true or false; it already is.
    FIY: Benson Mates and also here, spent most of one chapter of a textbook saying that there are no propositions just sentences.

    BTW, I really don't like the question in the OP.
    Last edited by Plato; August 7th 2012 at 12:04 PM.
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  6. #6
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    Re: proposition

    I was thinking about saying, "Perhaps doing injustice to the philosophy of mathematics..." OK, I can very well accept defining a proposition purely syntactically as a well-formed sentence with no free (unbound) variables.

    Why don't you like the question? I think it is important for students to distinguish between terms and sentences and to identify free variables. I often see people writing things like "Induction step: prove k + 1" and using variables that are not properly introduced.
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  7. #7
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    Re: proposition

    Quote Originally Posted by emakarov View Post
    Why don't you like the question? I think it is important for students to distinguish between terms and sentences and to identify free variables.
    It is poorly written. I realize it is from UAE. But you reply #2 is right on. Without know what the author means by proposition, some int that list make no sense.
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