1.4ex II
Further Concepts

Multiple Choice: Click on the best answer and the page will jump forward to the next problem.

 

1. Which of the following is a logically equivalent pair?
a. Neither Bob nor Carol is now a student. Either Bob is not now a student or Carol is not.
b. Neither Bob nor Carol is now a student. Both Bob and Carol are not now students.
c. Neither Bob nor Carol is now a student. If Bob is not a student, then neither is Carol.

 

2. Which of the following is NOT logically equivalent to "No monkeys are gorillas"?
a. All monkeys are non-gorillas.
b. No gorillas are monkeys.
c. All gorillas are non-monkeys.
d. none of the above

 

3. If one premise of an argument is logically equivalent to that argument's conclusion, then that argument
a. must be valid.
b. must be sound.
c. must be both valid and sound.
d. none of the above

 

4. The sentence "All physicians trained in cardiology are physicians" is
a. logically true.
b. logically false.
c. logically indeterminate.

 

5. The sentence "All physicians are trained in cardiology " is
a. logically true.
b. logically false.
c. logically indeterminate.

 

6. The sentence "Not all physicians are physicians" is
a. logically true.
b. logically false.
c. logically indeterminate.

 

7. A logically true sentence may
a. be true.
b. be false.
c. all of the above.
d. none of the above.

 

8. A logically indeterminate sentence may
a. be true.
b. be false.
c. all of the above.
d. none of the above.

 

9. The members of a pair of logically true sentences are
a. logically equivalent.
b. both true.
c. all of the above.
d. none of the above.

 

10. If a set of sentences is inconsistent, then
a. at least one member is logically false.
b. it's not possible for all members of the set to be true.
c. it's not possible for all members of the set to be false.
d. none of the above.

 

 

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