Philosophy Quiz Questions
1. According to the rule of redundancy, we should never repeat any line of a proof.
Answer
True False
2.The rule of commutation applies to conditionals.
Answer
True False
3. (p → q) :: (~p ν q) expresses which rule of equivalence?
Multiple Choice
• material implication
• commutation
• material equivalence
• contraposition
4.Which of the following is an instance of the rule of disjunctive syllogism?
Multiple Choice
• (~p ν ~q), ~p ~q
• (~p v ~q), ~~p ~q
• ~(p ν ~q), p ~~q
• ~(p ν q), ~p ~q)
5. p ν ~p states which of the following laws?
Multiple Choice
• law of excluded middle
• De Morgan’s laws
• law of noncontradiction
• law of exclusive dilemma
6. Which of the following is an expression of the law of noncontradiction?
Multiple Choice
• p ν ~p
• p • ~p
• ~(p → ~p)
• ~(p • ~p)
7. Which of the following is a statement of one of the two De Morgan’s laws?
Multiple Choice
• ~(p ν q) :: (~p ν ~q)
• ~(p • q) :: (~p • q)
• ~(p • q) :: (~p ν ~q)
• ~(p ν q) :: (p ν ~q)
8. The rule of exportation applies to disjunctions.
Answer
True False
9. p :: (p • p) expresses which rule of equivalence?
Multiple Choice
• conjunction
• distribution
• commutation
• redundancy
10. The rule of distribution tells us that (C ⋁ (B • A)) is logically equivalent to ((C ⋁ B) • (C ⋁ A))
Answer
True False
11. The basic idea behind conditional proof is that we can prove a conditional true by assuming that its
antecedent is true and showing that its consequent can be derived from this assumption.
Answer
True False
12. The rule of material equivalence is: (p → q) :: (~p ⋁ q)
rev: 09_02_2015_QC_CS-21714
Answer
True False
13. According to the law of noncontradiction, ~(p • ~p).
Answer
True False
14. According to De Morgan’s laws, ~(p ⋁ q) :: (~p • ~q).
Answer
True False
15. The law of excluded middle states that for any given syllogism, the middle term drops out.
Answer
True False
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