There's no sense in being precise when you don't even know what you're talking about. — John von Neumann. Hungarian and American mathematician and physicist (1903–1957)
Anyone who considers arithmetical methods of producing random digits is, of course, in a state of sin.
The sciences do not try to explain, they hardly even try to interpret, they mainly make models. By a model is meant a mathematical construct which, with the addition of certain verbal interpretations, describes observed phenomena. The justification of such a mathematical construct is solely and precisely that it is expected to work.