Syllogism

Syllogism: An argument formed by some combination of categorical sentences, containing two premises and three distinct terms, with one term (middle term) occurring in both premises but not in the conclusion.

Source: What is Good? What is Bad? The Value of All Values across Time, Place and Theories’ by John McMurtry, Philosophy and World Problems, Volume I-III, UNESCO in partnership with Encyclopedia of Life Support Systems: Oxford, 2004-11.