We discuss some consequences, on the brain mind dichotomy, of the requirement that both facts and procedures must be repeatable without any restriction on principle or method, in studying human behavior. The most relevant consequences of this requirement are examined and the methodological possibilities that arise when we are devising a theory are discussed. Two extreme situations are considered: the theories where a chain of physical processes explains the experimental results; and the theories where all the intermediate elements in the explanational chain are mental categories. Brain, mind, and the organ/function relationship are examined in this framework, and very clear characterizations are proposed. Few relevant consequences are then outlined of relaxing the complete repeatability requirement.