Abstract

ABSTRACTIn 1960, Eugene P. Wigner shared his observation of the unreasonable effectiveness of mathematics in formulating regularities in nature. Later, Jean Piaget recognized the functioning of the living organism as a source of harmony between mathematics and nature. However, not only did Piaget not demonstrate how more advanced mathematics could be linked to natural behavior, the unique functional feature of human behavior was absent in his explanation of its ultimate outcome (i.e. mathematics). The present analysis proposes that the effectiveness of mathematics seems puzzling because of the apparent disconnection between nature, the characteristics of the human brain and behavior, and the properties of mathematical constructs. The behavior of humans and other animals (i.e. rodents) will be the basis of comparison to meet the objective of the analysis in demystifying the effectiveness of mathematics in natural sciences by (1) showing the potential natural roots of some mathematical constructs in the organization of behavior with some specific examples in mathematics, (2) demonstrating a mechanism for the construction of mathematical reasoning as well as for the invention of mathematical constructs, and (3) discussing how mathematics seems disconnected from nature as a result of mathematical inventions guided by the symmetry principle.

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