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Problem 2: Natural Deduction in real Life (3 pts each for 30 pts total) For the

ID: 3879771 • Letter: P

Question

Problem 2: Natural Deduction in real Life (3 pts each for 30 pts total) For the real-life arguments (i)-(x), write down the name of the law of reasoning that you believe occurs, whether you agree with the statements made or not: Modus Ponens, Modus Tollens, Disjunctive / Conjunctive addition, Conjunctive Simplification, Disjunctive / Hypothetical syllogism. Explain your process of thinking: assign propositional symbols to parts of the sentences, like we did in the first slide pack of the year with the example with Mr. Jenkins, and OTL explain how those predicates encode the inputs and outputs of the rules. For some of the sentences, there might be more than one rule that could be applicable, depending on how you structure your answer!

Explanation / Answer

vi) is dog - p
    dogs loved bones - q

    The first statement is p && q    (&& - and symbol)
    Expectation is Harry will love bones. So the conclusion is q

vii) experince in android - p
     respond to the job = q
     job in android/iphone development - r

     p && r => q
     Conclusion is q

viii) drink beer/rum - p
      upset stomach - q

      p -> q   . Conclusion is upset stomach so it is q

ix) is French - p
     Frech drink red whine - q

     So the first statement is p && q .Th conclusion is drinks a lot of red whine
     os it is q

x)   having job - p
     having mental health - q
     fired from job - r

      r - > ~p && q   (~ is not)
      Since the conclusion is having mental health. So it is q

    

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