论数学危机与思想解放

摘要

Mathematics is a classic science, which also is a new science. Every major advances in mathematics, is a great ide-ological liberation and innovation process in human history. Throughout the history of mathematics, historians have put it up for three mathematical crises or four mathematical crises. From the role of promoting scientific development, four mathematical crises tended to be summarized. Through discussion on the four mathematical crises, we could find its relationship with humans ideological emancipation and innovation.%数学是一门经典的科学，也是一门常新的科学。数学的每一次重大进步，都是人类历史上的一次大的思想解放和创新的过程。纵观数学的发展史，史学家有把它概括为三次数学危机，也有概括为四次数学危机。从推动科学的发展作用上看，更倾向于概括为四次数学危机。探讨四次数学危机，可以发现其与人类思想解放和创新的关系。