| Mood and Figure: EAE-3 | No M are P All M are S No S are P |
| rule | rule met? | explanation | |
| 1. | If a syllogism is valid, then the middle term is distributed at least once. | yes | Middle term is distributed in both premises. |
| 2. | If a syllogism is valid, then if a term is distributed in
the conclusion, it must be distributed in a premise.
|
no
|
"P" is distributed in the conclusion, and in the premise. But S is distributed in the conclusion but not in the minor premise. |
| 3. | If a syllogism is valid, it does not have two negative
premises.
|
||
| 4. | If a syllogism is valid, then it has a negative premise, if
and only if it has a negative conclusion.
|
||
| 5. | If a syllogism is valid, then if its premises are universal,
then its conclusion is universal.
|
Result: This argument is invalid.