Processing of Information on P-Adic Trees

The notion of information will play an important role in our book. We do not follow Shannon’s theory [169] that there is a quantative measure of information which represents the way in which the state of a system is uncertain for us. Shannon’s information can be called passive information. Following D. Bohm and B. Hiley [37] we consider information as active information. An information space X I is nothing other than a set of strings of symbols with some operations on strings. Such operations define interactions between strings, the active exchange of information.