A proposition upon which an argument is based or from which a conclusion is drawn. Logic One of the propositions in a deductive argument. Logic Either the major or the minor proposition of a syllogism, from which the conclusion is drawn. Law The preliminary or explanatory statements or facts of a document, as in a deed. Land and the buildings on it. A building or part of a building. To state in advance as an introduction or explanation. To state or assume as a proposition in an argument. To make a premise.