“天道”与“命数”的数学转换——数学文化中的神秘主义与理性精神之历史考察

The Mathematical Transformation of Natural Law and Destiny: A Historical Research of Mysticism and Rationalism of Mathematical Culture

数学的诞生,以其纯净的理性之光照亮了人类探索宇宙奥秘的征途,但也曾使许多人陷入了思想的迷雾之中。"数术穷天地"始终是中西哲人和数学家宏大的理想与不懈的追求。"天不变,道亦不变"的观念正是占星术与数学纠缠不清的历史根源。明朝学者徐光启曾愤然批评中国古代"数有神理"的思想为"妖妄之术"。回顾历史,西方科学也是从古巴比伦"占星术"的迷信,到"万物皆数"的神秘主义,然后发展成为宗教理性,再到自然哲学,最终在数学思想方法与实践精神的引导下,才创立了宏伟的现代科学技术体系。

Since its beginning, mathematics, with its brilliant wisdom, has lightened up the path for man to explore the mysteries of the universe, but at the same time, it has made quite a few people puzzled. It was always the great ideal and relentless pursuit of ancient philosophers and mathematicians, East and West, to make ancient mathematics a universal solution to all problems. The concept that ì The universe changes not, likewise its law changes notī is the historical root for the inextricable entanglement between astrology and mathematics. Xu Guangqi, the famous Chinese scholar in the Ming dynasty, once slashed the ancient Chinese thought that mathematics is based on divine reasons as ridiculous and misleading. In retrospect, Western mathematics has also experienced several developmental stages: from the mystic belief that mathematics encompasses all things, to religious rationalism and natural philosophy, and under the guidance of mathematical methodology and experimentation, it has finally evolved into the magnificent system of modern science and technology.