The Collaborative International Dictionary
major premise \major premise\ n. (Logic), That premise of a syllogism that contains the major term (which is the predicate of the conclusion). Contrasted to minor premise.
Wiktionary
n. (context logic English) In a categorical syllogism, the premise whose terms are the syllogism's major term and middle term.
WordNet
n. the premise of a syllogism that contains the major term (which is the predicate of the conclusion) [syn: major premiss]
Usage examples of "major premise".
However, I cannot answer the question directly, since I do not agree with your major premise.
He thought he could publicly examine and re-examine every major premise of religion and turn it inside out with unprecedented respect for logic.
He told Samantha that Abe had within him the key to greatness on one major premise.