A Research On The Probability Thought Of The Moscow Mathematical School

Moscow school of mathematics was well known for its brilliant theoretical achievement since the20century.lt has two branches as function theory school and topology theory school which has been achieved many results. Especially in the last ten years, probability theory and other subjects constantly cross fusion which formed some new subject branch and theory. This makes Moscow school of mathematics in probability theory, thought on the development of causing more and more people's attention. Based on the current work, this paper take the method of literature study and comprehensive analysis to the relevant historical materials analyze the thought of probability theory of the Moscow school of mathematics. The main research results as follows:(1) This paper puts forward the Qu Anjing's "why mathematics" as the breakthrough point of research, probe into the cultural background and social background of probability thinking of Moscow school. The integration of many different aspects can help to understand the probability and other disciplines such as financial, political, economic and other fields of the relationship.(2)The paper uses the comprehensive analysis method to compare with probability thinking of Moscow school multidirectionally. The tremendous contribution of this school and timeline of evolution are discussed from both of the exterior and interior historical aspects, both of whole school and mathematicians, and the combination of historical data and combining mathematical teaching materials.(3)Great attention is paid to discussing the relationship between correlative probability thought and the philosophy. The three subject elements of philosophy are the quantitative change and the qualitative change, opposite and uniformity, contingency and necessity. The three big essential factors is also contains the rich random mathematical thought, such as occasion lies in certainty, certainty lies in occasion, reason lies in result and result lies in reason and so on. These philosophical views have been the research scope of the ancient philosophers. This paper also tries to reveal the historical development trace from philosophical angle and great theoretical significance are shown for the crossover between the probability and other science.(4) This paper discusses the Moscow school of mathematics thought the skeleton of the theory of probability. It was because of the influence of probability thought of thinking of Moscow school thar Russia gradually became the center of the probability theory and led the research it in the world in past some years.