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Thread: Logical connective Question

  1. #1
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    Logical connective Question

    I was given the following question

    Explain the logical connective “or” using only the notions of “not” and “and,” that is to say, write down an expression in P and Q using only the logical connectives “not” and “and” that is logically equivalent to “P or Q.”

    I know that the the logical of "or" using P and Q is

    P \vee Q

    I also wrote the truth table for P \vee Q and cannot think of a way to write "or" using the notions not and and. Can anyone lead me in the write direction?

    Thanks
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  2. #2
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    p \vee q \equiv \neg \left( {\neg p \wedge \neg q} \right)
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  3. #3
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    wow thanks for the help. That was way easier than I thought. I was making it to complicated....
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