The logical structure of irreversible systems transformations: A theorem concerning Dollo's law and chaotic movement

The argument of historical irrevocability as an explanation for the irreversibility of organismic evolution is reconsidered. It is examined under which conditions a chain of transformations never can lead to a state equivalent to a previous one. It is shown to be sufficient to take into consideration that the environment of an organ also consists of the other organs in an organism. Under this prerequisite it is impossible to reach an ancestral state once more. This type of irreversibility depends solely on the mutual interdependency of characters within one organism. No reference to statistical arguments is necessary. The relationship between chaotic dynamic systems and the present theory is discussed.