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Homework Help: Translating quantificational logic

  1. Mar 22, 2015 #1
    1. The problem statement, all variables and given/known data
    Put the sentence into symbols using the suggested notation.

    Dolphins and porpoises grin and frolic in the sea. (Dx = x is a dolphin; Px = x is a porpoise; Gx = x grins; Fx = x frolics in the sea)

    2. Relevant equations

    3. The attempt at a solution

    [itex](\forall x)(\forall y)[Dx\rightarrow(Gx\wedge Fx)][Py\rightarrow(Gy\wedge Fy)][/itex]
    But I'm not sure if this translate exactly as I want it to.
  2. jcsd
  3. Mar 25, 2015 #2

    Stephen Tashi

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    Science Advisor

    That doesn't look like standard notation. Do your course materials use the notation "[itex] [...][...][/itex] " to mean "[itex] [...] \land [...] [/itex] " ?

    It would be simpler to think about an equivalent English sentence that begins "Anything that is a dolpin or a porpoise"....
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