第一次数学危机及其哲学分析

毕达哥拉斯关于数的信条及以数为基础的宇宙模型的破产,导致了第一次数学危机。这一危机的影响是巨大的,它不仅推动了数学及其相关学科的发展,使古希腊数学的基础发生了根本性的变化,而且推动了整个科学的发展。在古希腊,数学和哲学是结盟的,哲学使古希腊的数学趋于抽象和真理。正是由于古希腊的哲学背景,使其有可能建立世界上第一个数学公理系统,并最终导致了近代科学的诞生。

Resorting to Philosophy to Give an Analysis of the First Mathematical Crisis

The bankruptcy of Pythagoras' mathematics creed and the world model based on number resulted in the first mathematical crisis,which pushed mathematics and other related sciences forward and made not only a fundamental change in the bases of ancient Greek mathematics but also great progress in all sciences.In ancient Greece,mathematics was in alliance with philosophy,and this made ancient Greek mathematics tend toward abstract and truth.It was against the background of ancient Greek philosophy that it was possible to set up the first axiomatic system in the world and for modern sciences to come into being.