middle term
Noun
Meaning
the term in a syllogism that is common to both premises and excluded from the conclusion
Source: WordNetSynonyms
Hypernyms
Examples
There is no escape from the dilemma. There is no middle term in the school for the disinherited class alone; you have either a systematic insistence, by means of false teaching, on error and ignorance, or hatred of those who domineer and exploit.
This is because in the structure of the syllogism invoked (i.e. III-1) the middle term is not distributed in either the major premise or in the minor premise a pattern called the "fallacy of the undistributed middle".
Mortal is the major term, Greeks the minor term. The premises also have one term in common with each other, which is known as the middle term; in this example, humans.