Noun
the premise of a syllogism that contains the minor term (which is the subject of the conclusion)
Source: WordNetAn "enthymeme" would follow today's form of a syllogism; however it would exclude either the major or minor premise. Source: Internet
For example, knowing that all men are mortal (major premise) and that Socrates is a man (minor premise), we may validly conclude that Socrates is mortal. Source: Internet
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". Source: Internet