EXAMPLE A
2. EAA-1
no m is p.
all s is m.
all s is p.
rule 5.
3. IAO-3
some m is p.
all m is s.
some s is not p.
rule 5.
4. OEO-4
some p is not m.
no m is s.
some s is not p.
rule 5.
5. AAA–3
all m is p.
all m is s.
all s is p.
rule 3.
6. IAI-2
some p is m.
all s is m.
some s is p.
rule 2.
7. OAA–3
some m is not p.
all m is s.
all s is p.
rule 3.
8. EAO-4
no p is m.
all m is s.
some s is not p.
rule 6.
9. OAI-3
some m is not p.
all m is s.
some s is p.
rule 5.
10. IEO–1
some m is p.
no s is m.
some s is not p.
rule 3.
11. EAO-3
no m is p.
all m is s.
some s is not p.
rule 6.
12. AII–2
all p is m.
some s is m.
some s is p.
rule 2.
13. EEE–1
no m is p.
no s is m.
no s is p.
rule 4.
14. OAO-2
some p is not m.
all s is m.
some s is not p.
rule 3.
15. IAA–3
some m is p.
all m is s.
all s is p.
rule 3.
EXAMPLE B
2. all m is p.
all s is m.
all s is p.
valid.
3. no p is m.
some s is not m.
some s is not p.
rule 4.
4. some m is not p.
all m is s.
some s is not p.
valid.
5. all p is m.
all m is s.
some s is m.
rule 6.
6. some p is not m.
all s is m.
all s is p.
rule 5.
7. some m is p.
some s is m.
some s is p.
rule 2.
8. some m is not p.
some s is m.
some s is not p.
rule 2.
9. all m is p.
all s is m.
all s is p.
valid.
10. some m is not p.
all m is s.
some s is not p.
valid.
EXAMPLE C
2. all p is m.
all s is m.
all s is p.
rule 2.
3. all m is p.
some m is not s.
some s is not p.
rule 3.
4. all m is p.
all m is s.
some s is p.
rule 6.
5. all p is m.
all m is s.
all s is p.
rule 3.
6. no m is p.
some s is not m.
some s is p.
rule 5.
7. all m is p.
all s is m.
all s is p.
valid.
8. no m is p.
all m is s.
no s is p.
rule 3.
9. all m is p.
no s is m.
no s is p.
rule 3.
10. all m is p.
all s is m.
all s is p.
valid.
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