Step 1: Recall what “mood” means in a categorical syllogism.
The mood of a syllogism is the sequence of the forms (A, E, I, O) of the major premise, minor premise, and conclusion.
Where:
A = Universal Affirmative (All S are P)
E = Universal Negative (No S are P)
I = Particular Affirmative (Some S are P)
O = Particular Negative (Some S are not P)
Step 2: Identify the form of each statement.
1) All Professors are Academicians.
This is of the form All S are P \(\Rightarrow\) A.
2) Some Academicians are Activists.
This is of the form Some S are P \(\Rightarrow\) I.
3) Therefore, Some Activists are Professors.
This is of the form Some S are P \(\Rightarrow\) I.
Step 3: Write the mood.
Major premise = A
Minor premise = I
Conclusion = I
So the mood is AII.
Final Answer: (A) AII