非欧几何思想的演化与发展

The Development and Evolution of No-Euclidean Geometry Think

本文认为 ,非欧几何思想萌芽、发生和发展经过了三个阶段。第五公设可证明性问题的提出 ;建立了逻辑上为真的两种非欧几何 ,即问题的解决 ;非欧几何深层基础无矛盾性和经验有效性的研究 ,即理论 (答案 )的评价。三个阶段相续继起 ,互为条件 ,构成非欧几何思想演化发展的清晰脉络。

The papper points out that the think of No-Euclidean geometry come from a long histry. It was divided into three steps. The first step was to put forward the question of fifth axiom. The second was to solve question and set up a new geometry. The third step was to evaluate and check up, accept the new theroy.