categorical syllogisms
1. Major term: things that produce intense gravity.
Minor term: extremely dense objects.
Middle term: neutron stars.
Mood, figure: AAA-3; invalid
2. Major term: insects that should be killed.
Minor term: dragonflies.
Middle term: insects that eat mosquitoes.
Mood, figure: EAE-1; valid, Boolean and Aristotelian
3. Major term: environmentally produced diseases.
Minor term: psychological disorders.
Middle term: inherited afflictions.
Mood, figure: EOI-2; invalid
4. Major term: good witnesses.
Minor term: hypnotized people.
Middle term: people who mix fact with fantasy.
Mood, figure: EIO-1; valid, Boolean and Aristotelian
5. Major term: good absorbers of ultraviolet rays.
Minor term: things destroyed by chlorine.
Middle term: ozone molecules.
Mood, figure: AAI-3; invalid, Boolean; valid, Aristotelian
Part II
1. All B are D.
No R are D.
No R are B.
AEE-2
Valid, Boolean and Aristotelian
2. No K are Y.
Some Y are L.
Some L are not K.
EIO-4
Valid, Boolean and Aristotelian
3. All W are M.
No R are W.
Some R are M.
AEI-1
Invalid
4. No M are F.
All M are I.
Some I are not F.
EAO-3
Invalid, Boolean; valid, Aristotelian
5. Some M are I.
No I are P.
Some P are M.
IEI-4
Invalid
6. All C are U.
Some A are not U.
Some A are not C.
AOO-2
Valid, Boolean and Aristotelian
7 All P are E.
All L are P.
Some L are E.
AAI-1
Invalid
8. Some H are not P.
No H are R.
Some R are not P.
OEO-3
Invalid
9. No P are T.
All A are T.
No A are P.
EAE-2
Valid, Boolean and Aristotelian
10. Some O are not C.
All S are O.
Some S are C.
OAI-1
Invalid
Part III
1. Some M are not P.
All M are S.
No S are P.
2. No P are M.
Some M are S.
All S are P.
3. All M are P.
Some M are S.
Some S are P.
4. Some M are P.
All S are M.
No S are P.
5. All P are M.
Some S are not M.
Some S are not P.
6. No P are M.
All M are S.
Some S are not P.
7. All M are P.
All S are M.
All S are P.
8. No P are M.
All S are M.
Some S are not P.
9. Some M are not P.
No M are S.
Some S are P.
10. Some P are not M.
No M are S.
All S are P.
Part I
1. All C are U.
Some U are I.
Some I are C.
AII-4
Invalid
2. No A are P.
Some K are A.
Some K are not P.
EIO-1
Valid, Boolean and
Aristotelian
3. No I are P.
All T are P.
Some T are not I.
EAO-2
Invalid, Boolean;
Valid, Aristotelian
4. All H are D.
Some D are not P.
Some P are not H.
AOO-4
Invalid
5. No E are C.
No C are D.
No D are E.
EEE-4
Invalid
6. All I are C.
All S are I.
All S are C.
AAA-1
Valid, Boolean and
Aristotelian
7. No P are I.
All F are I.
No F are P.
EAE-2
Valid, Boolean and
Aristotelian
8. Some I are not M.
Some P are I.
Some P are not M.
OIO-1
Invalid
Some A are P.
All P are N.
Some N are A.
IAI-4
Valid, Boolean and
Aristotelian
10. No C are O.
Some D are not O.
Some D are not C.
EOO-2
Invalid
11. All C are P.
All C are T.
Some T are P.
AAI-3
Invalid
12. All S are O.
All Q are O.
All Q are S.
AAA-2
Invalid
13. No P are W.
All D are P.
No D are W.
EAE-1
Valid, Boolean and
Aristotelian
14. Some I are P.
Some S are I.
Some S are P.
III-1
Invalid
15. Some C are R.
All C are D.
Some D are R.
IAI-3
Valid, Boolean and
Aristotelian
16. All C are G.
All G are E.
Some E are C.
AAI-4
Invalid
17. All S are P.
No P are O.
All O are S.
AEA-4
Invalid
18. No S are V.
Some M are V.
Some M are not S.
EIO-2
Valid, Boolean and
Aristotelian
19. No T are R.
All T are G.
Some G are not R.
EAO-3
Invalid, Boolean;
valid, Aristotelian
20. Some S are not U.
All S are C.
Some C are not U.
OAO-3
Valid, Boolean and
Aristotelian