Major

n.
  1. (Mil.) An officer next in rank above a captain and next below a lieutenant colonel; the lowest field officer.
  2. (Law) A person of full age.
  3. (Logic) That premise which contains the major term. It its the first proposition of a regular syllogism; as: No unholy person is qualified for happiness in heaven [the major]. Every man in his natural state is unholy [minor]. Therefore, no man in his natural state is qualified for happiness in heaven [conclusion or inference].
  4. A mayor.

In hypothetical syllogisms, the hypothetical premise is called the major.