Application of Mathematical Logic in Modern Design

Abstract

Rationality and sensibility have been complementing and restricting each other in the process of design. Mathematicians have used mathematics for thousands of years to uncover the secrets of beauty, and it has long been an invaluable tool for composition and design. Many artists and designers derive infinite possibilities from mathematical thinking. Early geometry used empirical principles of figure, length, Angle, area, and volume to meet the practical needs of mapping, architecture, astronomy, and various crafts. That’s why ancient Greek architects used the Golden Section at the Parthenon, and Byzantine architects elegantly combined geometric concepts like square, circle, cube and arched hemisphere in the design of Istanbul’s Hagias Sophia (Stichel, 2010) [1]. Nowadays, with the in-depth study of the design discipline, the position of mathematical logical thinking has become more and more prominent in the teaching of design and design foundation. It is not only a knowledge resource of design, but also a means to reduce experiments and eliminate technical errors. Design allows algorithms and laws to be embodied in a more concrete way in space. In the same way, modern design relies on points, lines, surfaces, proportion, symmetry, geometry and structure, which are often used in mathematics.