The conclusion of a syllogism often combines a relationship presented separately across the premises. Its full propositional form need not have appeared explicitly before.
Example:
Zayd is human.
Every human is an animal.
Therefore Zayd is an animal.
The first premise connects Zayd with humanity; the second connects humanity with animality. Together they yield the relation between Zayd and animality.
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Proof: Syllogism, Induction, Analogy and the Four Figures
The conclusion of a syllogism often combines a relationship presented separately across the premises. Its full propositional form need not have appeared explicitly before.
Example:
Zayd is human.
Every human is an animal.
Therefore Zayd is an animal.
The first premise connects Zayd with humanity; the second connects humanity with animality. Together they yield the relation between Zayd and animality.