Exam Review II

Quiz by Carolyn Smith

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28 questions

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- Q1Modus Tollens1. if A, then B 2. not B ∴ not A1. either A or B 2. if A, then C 3. if B, then D ∴ either C or D1. every A is a B 2. some C are A ∴ some C are B30s
- Q2Hypothetical Syllogism1. either A or B 2. if A, then C 3. if B, then D ∴ either C or D1. if A, then B 2. if B, then C ∴ if A, then C1. if A, then B 2. not B ∴ not A30s
- Q3Dilemma1. either A or B 2. if A, then C 3. if B, then D so, 4. either C or D1. every A is a B 2. some C are A so, 3. some C are B1. if A, then B 2. if B, then C so, 3. if A, then C30s
- Q4Modus Ponens1. if A, then B 2. A so, 3. B1. if A, then B 2. not A so, 3. not B1. either A or B 2. not A(B) so, 3. B(A)30s
- Q5Disjunctive Syllogism1. either A or B 2. not A(B) so, 3. B(A)1. if A, then B 2. not A so, 3. not B1. all A are B 2. all B are C so, 3. all A are C30s
- Q6Conjunction1. p→q 2. q→r ∴ p→r1. p 2. q ∴ p • q1. p∨q 2. p→r 3. q→s ∴ r∨s30s
- Q7Addition1. p ∴ p∨q1. p→q 2. ~q ∴ ~p1. p∨q 2. ~p ∴q30s
- Q8What rule is demonstrated in the following: 1. ~~p ∴ pAssociationCommutationDouble Negation30s
- Q9What rule is demonstrated in the following: 1. p v q ∴ q v pAssociationCommutationDuplication30s
- Q10What rule is demonstrated in the following: 1. (A v B) v C ∴ A v (B v C)Biconditional ExchangeAssociationDeMorgan's30s
- Q11What rule is demonstrated in the following: 1. p ∴ p v pDistributionDuplicationContraposition30s
- Q12What rule is demonstrated in the following: 1. ~(p v q) ∴ ~p • ~qDeMorgan's30s
- Q13What rule is demonstrated in the following: 1. ) p • q ∴ pSimplification30s
- Q14What rule is demonstrated in the following: 1. ) (p v( q • r)) ∴ ((p v q) • (p v r))SimplificationDistributionConjunction30s
- Q15What rule is demonstrated in the following: 1. ) (p ⊃ q) ∴ (~p v q)Conditional Exchange30s