(20 points (5 x 4 points) For each of the following arguments, indicate what rul
ID: 3735951 • Letter: #
Question
(20 points (5 x 4 points) For each of the following arguments, indicate what rule Denying the consequent (DC), Affirming the antecedent (AA), or Disjunctive syllogism (DS)) can be used to justify the conclusion. You must show your work as discussed in lecture to get full credit. i.e. P1: P2: C: a. Annette cooks dinner Monday evening only if she doesn't have to go to the movies late Monday evening. So Annette doesn't cook dinner Monday evening because she has to go to the movies late Monday evening. b. Rochelle sells blueberry muffins at the church bazzar this weekend if her sister babysits their baby brother Saturday morning. Since her sister babysits their baby brother Saturday morning it follows that Rochelle sells blueberry muffins at the church bazzar this weekend. C. Either Sonia or Keeley washes the neighbor's car Sunday afternoon. Keeley has to work Sunday afternoon at the store. Hence Sonia washes the neighbor's car Sunday afternoon.Explanation / Answer
A.) Denying the consequent(DC) rule used to just the statement.
p: she doesn't have to go to the movies late Monday evening
q: Annette cooks dinner Monday evening.
P1: If Annette doesn't have to go to the movies late Monday evening then Annette cooks dinner Monday evening.( If p then q)
P2: She has to go to movies late Monday evening.( Not q)
Conclusion: Therefore Annette doesn't cook dinner Monday evening. ( Therefore Not p)
B.) Affirming the antecedent (AA) rule is used to justify the statement.
p: Rochelle's sister babysits their baby brother Saturday morning
q: Rochelle will sell blueberry muffins at the church bazar this weekend.
P1: If Rochelle's sister babysits their baby brother Saturday morning, Rochelle will sell blueberry muffins at the church bazar this weekend. ( If p then q)
P2: Rochelle selled blueberry muffins at the church bazaar this weekend. (q)
Conclusion: Therefore her sister has babysat their baby brother Saturday morning. ( Therefore p)
C.) Disjunctive syllogism (DS) rule is used to justify the statement.
p: Sonia washes the neighbor's car Sunday afternoon
q: Keeley washes the neighbor's car Sunday afternoon
P1: Either Sonia or Keeley washes the neighbor's car Sunday afternoon.(p or q)
P2: Keeley doesn't wash the neighbor's car, as has to work Sunday afternoon at the store( Not q)
Conclusion: Therefore Sonia washed the neighbor's car Sunday afternoon ( Therefore p)
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