Historical Evolution Of Ideas Of Probability Theory

The theory of probability is a mathematical discipline devoted to the study of the regularities of random or stochastic events, which developed since the middle of the 17th century. The discipline has its own problems in its domain of investigation, as well as unimaginable applications in the real world. From the view of mathematical tools used in the investigation of probability, this paper divides the history of the theory into stages and attempts to analysis the characteristic of each stage. Historically, it went through three main periods: classical probability theory, analytical probability theory and measurable probability theory. Based on the axiomation, the theory of probability has achieved a series of breakthroughs in theories.By the clue of time and relied on the representative mathematicians, we fairly systematically reviewed the development of the theory of probability; so that we can get a whole understand of the ideological evolution of the probability theory.