A discussion in which disagreement is expressed; a debate. A quarrel; a dispute. Archaic A reason or matter for dispute or contention: "sheath'd their swords for lack of argument\u201d ( Shakespeare). A course of reasoning aimed at demonstrating truth or falsehood: presented a careful argument for extraterrestrial life. A fact or statement put forth as proof or evidence; a reason: The current low mortgage rates are an argument for buying a house now. A set of statements in which one follows logically as a conclusion from the others. A summary or short statement of the plot or subject of a literary work. A topic; a subject: "You and love are still my argument\u201d ( Shakespeare). Logic The minor premise in a syllogism. Mathematics An independent variable of a function. Mathematics The angle of a complex number measured from the positive horizontal axis. Computer Science A value used to evaluate a procedure or subroutine. Linguistics In generative grammar, any of various positions occupied by a noun phrase in a sentence.