Introduction to Logic Exercises: Categorical Propositions

1

The Square of Opposition

Directions: Assume that the given proposition is true, perform the required logical operation, and state the resultant proposition. Then state the resultant truth value. Example: What is the contradictory of ”No mass cults are art forms”? Answer : Some mass cults are art forms. False. 1. What is the contrary of ”All nonarctic ﬂora are bromeliads”?

2. What is the superaltern of ”Some dragsters are not fast cars”?

3. What is the superaltern of ”Some Rothco paintings are meditative works”?

4. What is the subcontrary of ”Some Wall St. gnomes are not accurate forecasters”?

5. What is the contrary of ”All logicians are really boring people”?

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2 FURTHER IMMEDIATE INFERENCES

6. What is the contradictory of ”All Malay languages are polynesian derivatives”?

7. What is the superaltern of ”Some laser shows are mass cults”?

8. What is contradictory of ”Some presidents are smilers”?

9. What is the subcontrary of ”Some meteor showers are not Geminids”?

10. What is the subaltern of ”All crises are learning experiences”?

2

Further Immediate Inferences

Directions: Assume that the given proposition is true, perform the required logical operation, and state the resultant proposition. Then state the resultant truth value. Example: What is the converse of ”All mass cults are art forms”? Answer : All art forms are mass cults. Undetermined. 1. What is the converse of ”No arctic ﬂora are bromeliads”?

2. What is the obverse of ”Some dragsters are fast cars”?

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2

FURTHER IMMEDIATE INFERENCES

3. What is the contrapositive of ”Some Rothco paintings are meditative works”?

4. What is the converse of ”Some Wall St. gnomes are accurate forecasters”?

5. What is the contrapositive of ”All logicians are really boring people”?

6. What is the obverse of ”No rap is hard rock”?

7. What is the...

1

The Square of Opposition

Directions: Assume that the given proposition is true, perform the required logical operation, and state the resultant proposition. Then state the resultant truth value. Example: What is the contradictory of ”No mass cults are art forms”? Answer : Some mass cults are art forms. False. 1. What is the contrary of ”All nonarctic ﬂora are bromeliads”?

2. What is the superaltern of ”Some dragsters are not fast cars”?

3. What is the superaltern of ”Some Rothco paintings are meditative works”?

4. What is the subcontrary of ”Some Wall St. gnomes are not accurate forecasters”?

5. What is the contrary of ”All logicians are really boring people”?

All text free under GNU Free Documentation License.

2 FURTHER IMMEDIATE INFERENCES

6. What is the contradictory of ”All Malay languages are polynesian derivatives”?

7. What is the superaltern of ”Some laser shows are mass cults”?

8. What is contradictory of ”Some presidents are smilers”?

9. What is the subcontrary of ”Some meteor showers are not Geminids”?

10. What is the subaltern of ”All crises are learning experiences”?

2

Further Immediate Inferences

Directions: Assume that the given proposition is true, perform the required logical operation, and state the resultant proposition. Then state the resultant truth value. Example: What is the converse of ”All mass cults are art forms”? Answer : All art forms are mass cults. Undetermined. 1. What is the converse of ”No arctic ﬂora are bromeliads”?

2. What is the obverse of ”Some dragsters are fast cars”?

2

2

FURTHER IMMEDIATE INFERENCES

3. What is the contrapositive of ”Some Rothco paintings are meditative works”?

4. What is the converse of ”Some Wall St. gnomes are accurate forecasters”?

5. What is the contrapositive of ”All logicians are really boring people”?

6. What is the obverse of ”No rap is hard rock”?

7. What is the...