Middle Term

In logic, a middle term is a term that appears (as a subject or predicate of a categorical proposition) in both premises but not in the conclusion of a categorical syllogism. The middle term (in bold below) must be distributed in at least one premise but not in the conclusion. The major term and the minor terms, also called the end terms, do appear in the conclusion.

Example:

Major premise: All men are mortal.
Minor premise: Socrates is a man.
Conclusion: Socrates is mortal.

The middle term is bolded above.

Famous quotes containing the words middle and/or term:

    In the middle classes the gifted son of a family is always the poorest—usually a writer or artist with no sense for speculation—and in a family of peasants, where the average comfort is just over penury, the gifted son sinks also, and is soon a tramp on the roadside.
    —J.M. (John Millington)

    A radical is one of whom people say “He goes too far.” A conservative, on the other hand, is one who “doesn’t go far enough.” Then there is the reactionary, “one who doesn’t go at all.” All these terms are more or less objectionable, wherefore we have coined the term “progressive.” I should say that a progressive is one who insists upon recognizing new facts as they present themselves—one who adjusts legislation to these new facts.
    Woodrow Wilson (1856–1924)