6.3a
Categorical Equivalences

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

 

1. If we apply conversion to "All dogs are mammals" we get:
a. All mammals are dogs. b. All dogs are non-mammals. c. No dogs are non-mammals. d. All non-mammals are non-dogs.

2. If we apply contraposition to "All dogs are mammals" we get:
a. All mammals are dogs. b. All dogs are non-mammals. c. No dogs are non-mammals. d. All non-mammals are non-dogs.

3. If we apply obversion to "All dogs are mammals" we get:
a. All mammals are dogs. b. All dogs are non-mammals. c. No dogs are non-mammals. d. All non-mammals are non-dogs.

4. If we apply obversion to "No dogs are mammals" we get:
a. All mammals are non-dogs. b. All dogs are non-mammals. c. No dogs are non-mammals. d. All non-mammals are non-dogs.

5. When we apply conversion to the following forms, we get back someting that is logically equivalent EXCEPT for this form:
a. All S are P. b. Some S are P. c. No S are P.

6. When we apply contraposition to the following forms, we get back someting that is logically equivalent from this form:
a. All S are P. b. Some S are P. c. No S are P.

7. "No dogs are reptiles" is logically equivalent to which one of the following.
a. All dogs are reptiles. b. All dogs are non-reptiles. c. Some dogs are reptiles. d. Some dogs are non-reptiles.

8. "No dogs are reptiles" is logically equivalent to which one of the following.
a. All non-dogs are reptiles. b. All dogs are reptiles. c. No dogs are non-reptiles. d. No reptiles are dogs.

9. "Some prestigious institutions are places of higher learning" is logically equivalent to...
a. No prestigious institutions are places of higher learning. b. All prestigious institutions are places of higher learning. c. Some places of higher learning are prestigious institutions. d. Some non-prestigious institutions are places of higher learning

10. "All serious offenders are people who should be jailed for life, therefore no serious offenders are people who should be freed someday" is...
a. Valid by obversion. b. Invalid by obversion. c. Valid by conversion. d. Invalid by conversion.

 

 

 

 

 

 

 

 

 

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