The Luoshu Magic Square as Evidence of the Rational and Mathematical Orientation of the Chinese Style of Thinking

Abstract

This article considers the meaning of the ancient Chinese magic square Luoshu. It is known that this square is the most ancient of this type of squares. The importance of the magic square in the philosophical tradition and in the whole culture of China is large. The ancient understanding of number differs from the modern one by its dual character, combining the features of philosophical symbolism and mathematical constructions. Unfortunately, modern interpretations of the Luoshu as well as other numerical constructions preserved by the Chinese tradition are too often limited to a superficial statement of their symbolic, “numerological” nature, ignoring the effects of the mathematical structure represented by them. At the same time, some scholars strongly emphasize the intuitive aspects of numerology, which do not presuppose accuracy. On the contrary, Leibniz saw in the Chinese binary system of thinking the beginning of an exact universal language. The author, appealing to the concept of A.A. Krushinskiy, analyzes the arithmetic laws of the structure of the square. The article shows that the magic square Luoshu is not a numbers game. Without any doubt, its main meaning lies in the application of arithmetic. Chinese magic square is an illustrative implementation of one of the main features of Chinese language and traditional thinking – its rational and mathematical basis. The Luoshu square is a vivid example of visual constructivism in the Chinese style of thinking. By means of the magic square’s scheme, the procedure of generalization that is a basis of concepts formation is carried out. This procedure uses a mathematical magic square algorithm based on the numerical codes of the five elements. The quinary spontaneous symbolism is rooted in the Chinese traditional culture of thinking and life order.