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Math Help - How would you express the following?

  1. #1
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    How would you express the following?

    If s(m,n) = d has n how would u say

    ∀x∃Ys(x,y)
    ∃Y∀xs(x,y)
    I dont get why its different depending on the order of the quantifer
    Please explain?
    Thanks
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  2. #2
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    Re: How would you express the following?

    What does "s(m,n) = d has n" mean?

    Concerning the order of quantifiers, it is true that for every person x there exists a person y such that y is the mother of x. However, it is not true that there exists a person y such that for every person x it is the case that y is the mother of x.
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  3. #3
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    Re: How would you express the following?

    sorry i meant s(m,n) means m has n
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  4. #4
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    Re: How would you express the following?

    What does "m has n" mean? Are m and n numbers, which is what they usually denote in mathematics, or is m a person?
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