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Exam Review II

Quiz by Carolyn Smith

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28 questions
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  • Q1
    Modus Tollens
    1. if A, then B 2. not B ∴ not A
    1. either A or B 2. if A, then C 3. if B, then D ∴ either C or D
    1. every A is a B 2. some C are A ∴ some C are B
    30s
  • Q2
    Hypothetical Syllogism
    1. either A or B 2. if A, then C 3. if B, then D ∴ either C or D
    1. if A, then B 2. if B, then C ∴ if A, then C
    1. if A, then B 2. not B ∴ not A
    30s
  • Q3
    Dilemma
    1. either A or B 2. if A, then C 3. if B, then D so, 4. either C or D
    1. every A is a B 2. some C are A so, 3. some C are B
    1. if A, then B 2. if B, then C so, 3. if A, then C
    30s
  • Q4
    Modus Ponens
    1. if A, then B 2. A so, 3. B
    1. if A, then B 2. not A so, 3. not B
    1. either A or B 2. not A(B) so, 3. B(A)
    30s
  • Q5
    Disjunctive Syllogism
    1. either A or B 2. not A(B) so, 3. B(A)
    1. if A, then B 2. not A so, 3. not B
    1. all A are B 2. all B are C so, 3. all A are C
    30s
  • Q6
    Conjunction
    1. p→q 2. q→r ∴ p→r
    1. p 2. q ∴ p • q
    1. p∨q 2. p→r 3. q→s ∴ r∨s
    30s
  • Q7
    Addition
    1. p ∴ p∨q
    1. p→q 2. ~q ∴ ~p
    1. p∨q 2. ~p ∴q
    30s
  • Q8
    What rule is demonstrated in the following: 1. ~~p ∴ p
    Association
    Commutation
    Double Negation
    30s
  • Q9
    What rule is demonstrated in the following: 1. p v q ∴ q v p
    Association
    Commutation
    Duplication
    30s
  • Q10
    What rule is demonstrated in the following: 1. (A v B) v C ∴ A v (B v C)
    Biconditional Exchange
    Association
    DeMorgan's
    30s
  • Q11
    What rule is demonstrated in the following: 1. p ∴ p v p
    Distribution
    Duplication
    Contraposition
    30s
  • Q12
    What rule is demonstrated in the following: 1. ~(p v q) ∴ ~p • ~q
    DeMorgan's
    30s
  • Q13
    What rule is demonstrated in the following: 1. ) p • q ∴ p
    Simplification
    30s
  • Q14
    What rule is demonstrated in the following: 1. ) (p v( q • r)) ∴ ((p v q) • (p v r))
    Simplification
    Distribution
    Conjunction
    30s
  • Q15
    What rule is demonstrated in the following: 1. ) (p ⊃ q) ∴ (~p v q)
    Conditional Exchange
    30s

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