概率论公理化源头初探

The study of the origin of the probability theory′s axiomatization

目的鉴于概率论公理化在概率论历史上的重要性,尝试研究其产生的背景和过程。方法对原始文献进行综合分析。结果柯尔莫戈洛夫(АНКолмогоро,в1903—1987)的《概率论基础》建立了概率论的公理化体系,奠定了近代概率论的基础。结论对概率论基本概念的探讨及研究工具的改进,使得概率论成为一门严格的数学分支。

Aim To study the background and development of probability＇s axiomatization in view of its importance in the history of the theory. Methods Comprehensive analysis of the original literatures. Results Foundations of the Theory of Probability written by A.N. Kolmogorov（1903--1987） establishes the axiomatics of probability theory and lays a foundation for modern .theory of probability. Conclusion The study of the fundamental concepts and improvement of the tools make the probability theory become a rigorous mathematical branch.