There is a complete and rigorous order system in the universe that guides the development and transformation of life and matter. However, in the era of ‘slash-and-burn’ agriculture, people lived in chaos and could not understand how the wind blew or how the water flowed. With the evolution of civilization, people began to establish logical relationships and use what is known to try to explain what is unknown, gradually glimpsing the true face of the world.

It can be said that using order to control chaos is an eternal theme in human life. In the process of exploring the origin of the world, the Book of Changes, also known as the I Ching or Zhouyi, was born in China during the Bronze Age. It has been compiled and developed by many scholars over generations, covering knowledge in divination, astronomy, calendrics, and other fields, and was considered a compulsory subject for ancient Chinese government officials’ selection exams. From a classical philosophical perspective, it explains the laws of the universe’s operation through the theory of Yin and Yang.

The inventor of binary, Gottfried Wilhelm Leibniz, believed that there was a significant similarity between the logical symbols in the Book of Changes and his binary number system. This book will be based on Leibniz’s perspective, using a graphical visual language to explain the mathematical and classical philosophical principles in the Book of Changes by analyzing the binary structure, and elucidating the relationship between the concepts of Yin and Yang and algorithms from a modern perspective.
宇宙有一套完整而严密的秩序系统,引导着生命和物质的发展与变化。但是在“刀耕火种”的年代,人们生活在混乱之中,无法理解风如何刮,水怎样流。随着文明的演变,人们开始通过建立逻辑关系,用已知的事物去尝试解释未知的事物,从而逐渐窥探到世界的真实面貌。

可以说,通过秩序来控制混乱是人类生活中的永恒主题。而在人类探索世界本源的过程中,易经应运而生。

易经,又称周易,是在青铜器时代诞生的中国经典著作。它经历了多代学者的整理和发展,涵盖了卜卦、天文、历法等多个领域的知识,被视为古代科举的必修科目。它从一种古典哲学的视角,通过阴阳二元论来解释宇宙运行的规律。

二进制的发明者戈特弗里德·莱布尼兹认为,易经中的逻辑符号和他的二进制数字表之间有着显著的相似性。本书将基于莱布尼兹的观点,采用图形化的语言,通过分析二进制结构来解释易经中的数学和古典哲学原理,从现代视角阐述阴阳等概念与算法之间的关系。













Authored and published solely by me.

ISBN 978-1-3999-5427-3

Special Thanks to:
Elliot Zhang
Maria Da Gandra
Ravin Raori
Tim Hutchinson




©Xin Ai 2023
All rights reserved.
©Xin Ai 2023
All rights reserved.