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    Hey.

    Having some trouble with truth tables.

    Basically, Im told this information:

    J ^ ( J => M ) ^ ( M => H) => M ^ H

    J: I have a job
    M: I have money
    H: I am happy


    And have to firstly translate into an English sentence. And secondly, have to construct a truth table.

    So for the first part, I get:

    I have a Job. If I have a job then I have money. If I have money then I am happy. Therefore I have money and I am happy.

    If im wrong, please let me know

    And for the truth table, I've so far done:



    However im unsure which colomns to fill out next.. :/

    Any help is greatly apprechiated.
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      (Original post by desir0)
      So for the first part, I get:

      I have a Job. If I have a job then I have money. If I have money then I am happy. Therefore I have money and I am happy.
      I believe the convention is that => has the widest scope. (ie. it should be evaluated last) So it should be read as: (J ^ ( J => M ) ^ ( M => H)) => (M ^ H) That's different from what you have written in English.
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      Yeah, Im reading it like that but still getting the same sentence.
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        (Original post by desir0)
        Yeah, Im reading it like that but still getting the same sentence.
        Well, your English sentence says that you have a job. But that isn't necessarily true. The symbolic sentence is just saying: "IF something THEN something else". That doesn't place any restrictions on the truth of J.
       
       
       
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