| Phil. 1: Introduction to Logic | |
| Schedule | |
| Answer Key | |
Exercise 5.3
Part I
1. All M are P.
All M are S.
All S are P.
Invalid
Illicit minor
2. Some P are M.
All S are M.
Some S are P.
Invalid
Undistributed middle
3. No M are P.
Some S are M.
Some S are not P.
Valid
No rules broken.
4. All P are M.
All S are M.
Some S are P.
Invalid
Undistributed middle;
existential fallacy
5. Some M are P.
No S are M.
Some S are not P.
Invalid
Illicit major
6. No P are M.
Some M are not S.
Some S are not P.
Invalid
Exclusive premises
7. No M are P.
All S are M.
All S are P.
Invalid
Drawing aff. concl.
from from neg. prem.
8. All M are P.
Some M are S.
Some S are P.
Valid
No rules broken.
9. All P are M.
All M are S.
Some S are P.
Invalid
Existential fallacy
Valid if P exists.
10. Some M are P.
All M are S.
Some S are not P.
Invalid
Illicit major; drawing
neg. concl. from aff.
premises
11. All P are M.
Some S are M.
Some S are P.
Invalid
Undistributed middle
12. All M are P.
Some M are S.
Some S are not P.
Invalid
Illicit major;drawing
neg. concl. from aff.
premises
13 All P are M.
No M are S.
No S are P.
Valid
No rules broken.
14. No P are M.
All M are S.
No S are P.
Invalid
Illicit minor
15. No M are P.
All M are S.
Some S are not P.
Invalid
Existential fallacy
Valid if M exists.
16. No M are P.
No S are M.
No S are P.
Invalid
Exclusive premises
17. No M are P.
All S are M.
No S are P.
Valid
No rules broken.
18. Some M are not P.
All M are S.
Some S are P.
Invalid
Drawing aff. concl.
from a neg. premise
19. All P are M.
Some S are not M.
Some S are not P.
Valid
No rules broken.
20. No M are P.
All S are M.
Some S are not P.
Invalid
Existential fallacy
Valid if S exists.
Part II
1. Some N are C.
Some C are O.
Some O are N.
Invalid
Undistributed middle
2. No I are P.
All C are P.
No C are I.
Valid
No rules broken.
3. No E are C.
All S are E.
Some S are not C.
Valid, since S exists.
4. Some C are not M.
No C are I.
Some I are not M.
Invalid
Exclusive premises
5. All T are H.
All T are E.
Some E are H.
Invalid
Existential fallacy
6. All M are P.
All M are L.
All L are P.
Invalid
Illicit minor
7. No S are V.
Some W are V.
Some W are not S.
Valid
No rules broken.
8. All W are P.
Some P are I.
Some I are W.
Invalid
Undistributed middle
9. All I are P.
Some E are not P.
Some E are I.
Invalid
Drawing aff. concl.
from a neg. premise
10. All S are M.
All M are P.
Some P are S.
Valid, since S exists.
Part III
1. False
2. True
3. True
5. True
6. False
7. False
8. True
9. False
10. False
Exercise 5.3
Part I
1. All M are P.
All M are S.
All S are P.
Invalid
Illicit minor
2. Some P are M.
All S are M.
Some S are P.
Invalid
Undistributed middle
3. No M are P.
Some S are M.
Some S are not P.
Valid
No rules broken.
4. All P are M.
All S are M.
Some S are P.
Invalid
Undistributed middle;
existential fallacy
5. Some M are P.
No S are M.
Some S are not P.
Invalid
Illicit major
6. No P are M.
Some M are not S.
Some S are not P.
Invalid
Exclusive premises
7. No M are P.
All S are M.
All S are P.
Invalid
Drawing aff. concl.
from from neg. prem.
8. All M are P.
Some M are S.
Some S are P.
Valid
No rules broken.
9. All P are M.
All M are S.
Some S are P.
Invalid
Existential fallacy
Valid if P exists.
10. Some M are P.
All M are S.
Some S are not P.
Invalid
Illicit major; drawing
neg. concl. from aff.
premises
11. All P are M.
Some S are M.
Some S are P.
Invalid
Undistributed middle
12. All M are P.
Some M are S.
Some S are not P.
Invalid
Illicit major;drawing
neg. concl. from aff.
premises
13 All P are M.
No M are S.
No S are P.
Valid
No rules broken.
14. No P are M.
All M are S.
No S are P.
Invalid
Illicit minor
15. No M are P.
All M are S.
Some S are not P.
Invalid
Existential fallacy
Valid if M exists.
16. No M are P.
No S are M.
No S are P.
Invalid
Exclusive premises
17. No M are P.
All S are M.
No S are P.
Valid
No rules broken.
18. Some M are not P.
All M are S.
Some S are P.
Invalid
Drawing aff. concl.
from a neg. premise
19. All P are M.
Some S are not M.
Some S are not P.
Valid
No rules broken.
20. No M are P.
All S are M.
Some S are not P.
Invalid
Existential fallacy
Valid if S exists.
Part II
1. Some N are C.
Some C are O.
Some O are N.
Invalid
Undistributed middle
2. No I are P.
All C are P.
No C are I.
Valid
No rules broken.
3. No E are C.
All S are E.
Some S are not C.
Valid, since S exists.
4. Some C are not M.
No C are I.
Some I are not M.
Invalid
Exclusive premises
5. All T are H.
All T are E.
Some E are H.
Invalid
Existential fallacy
6. All M are P.
All M are L.
All L are P.
Invalid
Illicit minor
7. No S are V.
Some W are V.
Some W are not S.
Valid
No rules broken.
8. All W are P.
Some P are I.
Some I are W.
Invalid
Undistributed middle
9. All I are P.
Some E are not P.
Some E are I.
Invalid
Drawing aff. concl.
from a neg. premise
10. All S are M.
All M are P.
Some P are S.
Valid, since S exists.
Part III
1. False
2. True
3. True
5. True
6. False
7. False
8. True
9. False
10. False