Классификация геосистем: аксиоматический подход

Abstract

Using the experience of solving classification problems in quantum mechanics and biology, the basic principles (axioms) that the natural classification of geosystems should satisfy are formulated. The science resolutes research problems from three independent positions: describing phenomena, highlighting fundamental laws and classifying objects. Classification is the relation structure of various types of objects (taxa), usually in the form of a graph. Geography classifies not territorial objects, but varieties of the environment (geomers) in which these objects manifest themselves to varying degrees. The classification theory is an intertheory that describes processes and phenomena in nature and society in a through way. Mathematical methods of feature space bundle, group theory and functional spaces are used to model the structure of typology and classification. The intertheory is created on the general theory of systems at various levels of formalization: from systems of quantum numbers, eigenvalues and variables to systems of geoinformation functions, probability estimation functionals, function transformation operators for describing states (taxonomic positions) and their quantum transitions. At the lower level of quantization, the axiomatization scheme assumes the existence of a universal facet space of series of integers of the classification code, restrictions on the length of the series and rules for changing the numbers of the code during quantum transitions. Triangular classification structures satisfying these requirements were identified at the systematics of the facies of the southern taiga of the Lower Angara region.