To argue is to produce considerations designed to support a conclusion. An argument is either the process of doing this (in which sense an argument may be heated or protracted) or the product, i.e. the set of propositions adduced (the premises), the pattern of inference and the conclusion reached. An argument may be deductively valid, in which case the conclusion follows from the premises, or it may be persuasive in other ways. Logic is the study of valid and invalid forms of argument. See also induction, fallacies, proof.