INTELLECTOLOGY OF LAW. PRELIMINARY RESULTS OF MATHEMATICAL MODELLING OF LAW
A certain methodological crisis is observed in theoretical jurisprudence whose essence consists in that today’s research works almost don’t enrich the methodology of legal science with new approaches, whereas the existing ones are variations of already known stereotypes, and by far not always effective at that. This situation impacts the objectivity of the results of studying legal problems, their reliability and scientificity. At the same time, studying social processes related, in particular, with the operation of legal regulations, formation and necessary change of the legal system can be presented in a new light, considering the analysis of dynamics of implementation of legal provisions, establishing non-linear patterns, studying various multi-vector manifestations of legal relations in the societal coordinate system as well as other social phenomena, based on system approach and mathematical calculation. The following mathematical methods are highlighted in the paper, with reference to jurisprudence, for modelling social and legal phenomena: (1) law-making, (2) interpretation of law, (3) application of law, (4) law enforcement, (5) formation of law. A special, concretised form of mathematical logic is used to explain the criminal behaviour of a person, to find the criminal and to expose him in case of attempts to escape responsibility for his actions. Probability theory made it possible to develop forensic portrait examination, and later, dactyloscopic examination. Mathematical patterns allowed to establish the objective nature of conclusions of graphological examinations. Today, the application of mathematical methods resulted in the formation of a separate complex field of science - forensic science. Concurrently, legal statistics made it possible to identify stable patterns in crime as a socially negative mass phenomenon. The geometric idea had a significant impact on the structure of scientific knowledge in the legal world and on that of laws: the presence of general parts in criminal, civil, etc. codes as well as placing the provisions concerning the principles of law at the beginning of some laws undoubtedly represent a tradition of planar geometric jurisprudence. The paper comes to the conclusion that the criminal law system cannot be ideal and set once and for all time. We are living in the Euclidean criminal law system, although another, more complex, geometric system has been known for a long time already - Lobachevsky’s imaginary geometry or spatial geometry.