Why Mathematics Is Universal Multidisciplinary Science

摘要

The paper shows meta-mathematical prerequisites for basic concepts of rigorous science called mathematics. These concepts explore a very simple idea concerning the hypothesis that all surrounding physical processes are basically algorithmic processes - as understandable as well as partially or fully incomprehensible ones. Mathematics is very successful in studying, formal describing and utilizing of such processes, because mathematics is based on similar algorithmic ideas, methods, and structures. These facts allow us to formulate more precisely useful mathematical (meta-scientific) concepts concerning some well-known scientific problems in various rigorous theories, including the theory of "object calculus", the theory of automatic cognition, the theory of biological evolution, the theory of heterogeneous electronic systems, the theory of logics in various chemical transformations, the basic architecture of completely programmable universal (multi-purpose) synthesizers-analyzers for various objects, and so on.