“The Unreasonable Effectiveness of Mathematics”: Patterning of Patterns

In this essay we continue the analysis of effectiveness of mathematics in description of natural phenomena. As was argued previously, the formation of foundations of mathematical thinking, including arithmetic and geometry can be determined to a large extent by the environment and the means of perception and processing of the sensory information about it. It is further argued that mathematics is an effective framework of concepts and logical instruments that allows to package patterns observed in the natural domains into compact logical structures: theories or “code” defined in the context of the logical model of mathematics. Predictive power of theories formulated within this framework is discussed and connections with epistemology principles established.