n. 1. a sequence of propositions that together provide logical reasons for accepting the resulting conclusion as valid or true. A single one of these related statements is termed a premise. Argumentation, an extension of this concept, is the process of making an argument all the way from premise to conclusion. 2. a parameter on which the value of a mathematical function depends or can fall. 3. a disagreement involving varied, often opposite, positions as posited by different individuals.