والفارابي هذب هذا الفن وهو المعلم الثاني
Al-Farabi refined this discipline and is the Second Teacher.
Refining a discipline involves organizing, clarifying and improving discussions already received. This distinguishes initial codification from later scholarly development.
First Teacher: Aristotle, associated with systematizing logic.
Second Teacher: Al-Farabi, celebrated for clarifying and refining it.
The titles are not offices and do not imply that the two figures were contemporaries or in a direct teacher–student relationship.