A complete syllogism uses the middle to connect the premises, but the middle itself is absent from the intended conclusion:
All teachers are human.
Some writers are teachers.
Therefore some humans are writers.
“Teacher” occurs in both premises, but only “human” and “writer” remain in the conclusion.
Repeating “Some teachers are writers” merely restates a premise. The desired inferential work is to establish a relation between the two endpoint terms.
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The Fourth Figure: Productive Conditions, Moods and Proofs
A complete syllogism uses the middle to connect the premises, but the middle itself is absent from the intended conclusion:
All teachers are human.
Some writers are teachers.
Therefore some humans are writers.
“Teacher” occurs in both premises, but only “human” and “writer” remain in the conclusion.
Repeating “Some teachers are writers” merely restates a premise. The desired inferential work is to establish a relation between the two endpoint terms.