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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