Exercise 4.3

Helpful PowerPoint Presentations for this homework:

• The Basics of Venn Diagrams
• Diagramming "It is false that..."
• Logical Contradiction

Part I

1.

No L are  H

2.

All E are M

3.

Some P are M

4.

Some R are not F

5.

All R are S

6.

No T are  P

7.

Some H are C

8.

Some C are not S

Part II

1. Invalid.

2. Valid.

3. Valid.

4. Invalid.

5. Invalid.

6. Valid.

7. Invalid.

8. Valid.

9. Invalid.

10. Valid.

Part III

1.

Premise:	No S are B.
Conclusion:	All S are B.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

2.

Premise:	It is false that:  Some L are V.
Conclusion:	No L are V.
Valid.

3.

Premise:	All M are C.
Conclusion:	It is false that:  Some M are not C.
Valid.

4.

Premise:	It is false that:  No J are N.
Conclusion:	Some J are not N.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

5.

Premise:	Some C are A
Conclusion:	Some C are not A.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

6.

Premise:	It is false that:  No C are T.
Conclusion:	Some C are T
Valid.

7.

Premise:	It is false that:  Some S are not C.
Conclusion:	It is false that:  Some S are C
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

8.

Premise:	No V are A.
Conclusion:	It is false that:  Some V are A.
Valid.

9.

Premise:	Some C are O.
Conclusion:	No C are O.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

10.

Premise:	It is false that:  All W are L.
Conclusion:	Some W are not L.
Valid.

Exercise 4.3

Helpful PowerPoint Presentations for this homework:

• The Basics of Venn Diagrams
• Diagramming "It is false that..."
• Logical Contradiction

Part I

1.

No L are  H

2.

All E are M

3.

Some P are M

4.

Some R are not F

5.

All R are S

6.

No T are  P

7.

Some H are C

8.

Some C are not S

Part II

1. Invalid.

2. Valid.

3. Valid.

4. Invalid.

5. Invalid.

6. Valid.

7. Invalid.

8. Valid.

9. Invalid.

10. Valid.

Part III

1.

Premise:	No S are B.
Conclusion:	All S are B.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

2.

Premise:	It is false that:  Some L are V.
Conclusion:	No L are V.
Valid.

3.

Premise:	All M are C.
Conclusion:	It is false that:  Some M are not C.
Valid.

4.

Premise:	It is false that:  No J are N.
Conclusion:	Some J are not N.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

5.

Premise:	Some C are A
Conclusion:	Some C are not A.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

6.

Premise:	It is false that:  No C are T.
Conclusion:	Some C are T
Valid.

7.

Premise:	It is false that:  Some S are not C.
Conclusion:	It is false that:  Some S are C
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

8.

Premise:	No V are A.
Conclusion:	It is false that:  Some V are A.
Valid.

9.

Premise:	Some C are O.
Conclusion:	No C are O.
Invalid.  The diagram of the conclusion is not contained in the diagram of the premise.

10.

Premise:	It is false that:  All W are L.
Conclusion:	Some W are not L.
Valid.